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100 LearnersLast updated on October 25, 2025
GCF of 55 and 88
The GCF is the largest number that can divide two or more numbers without leaving any remainder. GCF is used to share the items equally, to group or arrange items, and schedule events. In this topic, we will learn about the GCF of 55 and 88.
What is the GCF of 55 and 88?
The greatest common factor of 55 and 88 is 11.
The largest divisor of two or more numbers is called the GCF of the number.
If two numbers are co-prime, they have no common factors other than 1, so their GCF is 1.
The GCF of two numbers cannot be negative because divisors are always positive.
How to find the GCF of 55 and 88?
To find the GCF of 55 and 88, a few methods are described below -
Listing Factors Prime Factorization Long Division Method / by Euclidean Algorithm
GCF of 55 and 88 by Using Listing of factors
Steps to find the GCF of 55 and 88 using the listing of factors
Step 1: Firstly, list the factors of each number Factors of 55 = 1, 5, 11, 55. Factors of 88 = 1, 2, 4, 8, 11, 22, 44, 88.
Step 2: Now, identify the common factors of them Common factors of 55 and 88: 1, 11.
Step 3: Choose the largest factor The largest factor that both numbers have is 11.
The GCF of 55 and 88 is 11.
GCF of 55 and 88 Using Prime Factorization
To find the GCF of 55 and 88 using the Prime Factorization Method, follow these steps:
Step 1: Find the prime factors of each number Prime Factors of 55: 55 = 5 x 11 Prime Factors of 88: 88 = 2 x 2 x 2 x 11 = 2³ x 11.
Step 2: Now, identify the common prime factors The common prime factor is: 11.
Step 3: Multiply the common prime factors 11.
The Greatest Common Factor of 55 and 88 is 11.
GCF of 55 and 88 Using Division Method or Euclidean Algorithm Method
Find the GCF of 55 and 88 using the division method or Euclidean Algorithm Method.
Follow these steps:
Step 1: First, divide the larger number by the smaller number Here, divide 88 by 55 88 ÷ 55 = 1 (quotient), The remainder is calculated as 88 − (55×1) = 33 The remainder is 33, not zero, so continue the process.
Step 2: Now divide the previous divisor (55) by the previous remainder (33) Divide 55 by 33 55 ÷ 33 = 1 (quotient), remainder = 55 − (33×1) = 22. The remainder is 22, not zero, so continue the process.
Step 3: Now divide the previous divisor (33) by the previous remainder (22) Divide 33 by 22 33 ÷ 22 = 1 (quotient), remainder = 33 − (22×1) = 11. The remainder is 11, not zero, so continue the process.
Step 4: Now divide the previous divisor (22) by the previous remainder (11) Divide 22 by 11 22 ÷ 11 = 2 (quotient), remainder = 22 − (11×2) = 0. The remainder is zero; the divisor will become the GCF.
The GCF of 55 and 88 is 11.
Common Mistakes and How to Avoid Them in GCF of 55 and 88
Finding the GCF of 55 and 88 looks simple, but students often make mistakes while calculating the GCF.
Here are some common mistakes to be avoided by the students.
Mistake 1
Listing Incorrect Factors
Students may sometimes list incorrect factors. For example, while listing factors of 55, students may mention 10 which is incorrect.
To avoid this, students should carefully divide the number and list the factors correctly.
Mistake 2
Choosing the wrong common factor
Students may sometimes select the smallest common factor instead of the largest one.
To avoid this confusion, students should list all the common factors and find the greatest one.
Mistake 3
Forgetting to include 1 as a factor
Sometimes students may forget 1 as a common factor of the numbers.
However, it does not affect the GCF, but it indicates an incomplete understanding of the factors.
Students should include 1 as a factor.
Mistake 4
Using Multiples instead of factors
Students confuse between factors and multiples.
In that confusion, sometimes they may write multiples instead of factors.
To avoid this confusion, students should know the definitions of multiples and factors clearly.
Mistake 5
Assuming GCF is always an even number
Students may assume that the GCF of two numbers will always be an even number.
But it's not true; a GCF can also be an odd number.
To avoid this, students should focus on common factors rather than focusing on even and odd numbers.
Greatest Common Factor of 55 and 88 Examples
Problem 1
A gardener has 55 rose plants and 88 tulip plants. She wants to arrange them in rows with the same number of plants in each row, using the largest possible number of plants per row. How many plants will be in each row?
We should find the GCF of 55 and 88 GCF of 55 and 88 11.
There will be 11 plants in each row.
Explanation
As the GCF of 55 and 88 is 11, the gardener can arrange 11 plants in each row.
Problem 2
A musician has 55 drumsticks and 88 guitar picks. He wants to put them into sets with the largest possible number of items in each set. How many items will be in each set?
GCF of 55 and 88 11 So each set will have 11 items.
Explanation
There are 55 drumsticks and 88 guitar picks.
To find the total number of items in each set, we should find the GCF of 55 and 88.
There will be 11 items in each set.
Problem 3
A baker has 55 kg of flour and 88 kg of sugar. She wants to divide them into portions of equal weight, using the largest possible weight for each portion. What should be the weight of each portion?
For calculating the largest equal weight, we have to calculate the GCF of 55 and 88, The GCF of 55 and 88 is11.
The weight of each portion is 11 kg.
Explanation
For calculating the largest weight of the portions, we first need to calculate the GCF of 55 and 88, which is 11.
The weight of each portion will be 11 kg.
Problem 4
An event organizer has two banners, one 55 meters long and the other 88 meters long. She wants to cut them into the longest possible equal pieces, without any material left over. What should be the length of each piece?
The organizer needs the longest piece of material GCF of 55 and 88 11, The longest length of each piece is 11 meters.
Explanation
To find the longest length of each piece of the two banners, 55 meters and 88 meters, respectively, we have to find the GCF of 55 and 88, which is 11 meters.
The longest length of each piece is 11 meters.
Problem 5
If the GCF of 55 and ‘b’ is 11, and the LCM is 440. Find ‘b’.
The value of ‘b’ is 88.
Explanation
GCF × LCM = product of the numbers 11 × 440 = 55 × b 4840 = 55b b = 4840 ÷ 55 = 88
FAQs on the Greatest Common Factor of 55 and 88
1.What is the LCM of 55 and 88?
2.Is 55 divisible by 5?
3.What will be the GCF of any two prime numbers?
4.What is the prime factorization of 88?
5.Are 55 and 88 prime numbers?
Important Glossaries for GCF of 55 and 88
- Factors: Factors are numbers that divide the target number completely. For example, the factors of 55 are 1, 5, 11, and 55.
- Multiple: Multiples are the products we get by multiplying a given number by another. For example, the multiples of 5 are 5, 10, 15, 20, and so on.
- Prime Factors: These are the factors of a number that are prime numbers and divide the given number completely. For example, the prime factors of 88 are 2 and 11.
- Remainder: The value left after division when the number cannot be divided evenly. For example, when 88 is divided by 11, the remainder is 0 and the quotient is 8.
- LCM: The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 55 and 88 is 440.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
