Last updated on August 5th, 2025
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 18 and 35.
The greatest common factor of 18 and 35 is 1. 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.
To find the GCF of 18 and 35, a few methods are described below:
Steps to find the GCF of 18 and 35 using the listing of factors:
Step 1: Firstly, list the factors of each number:
Factors of 18 = 1, 2, 3, 6, 9, 18.
Factors of 35 = 1, 5, 7, 35.
Step 2: Now, identify the common factors of them Common factors of 18 and 35: 1.
Step 3: Choose the largest factor.
The largest factor that both numbers have is 1.
The GCF of 18 and 35 is 1.
To find the GCF of 18 and 35 using Prime Factorization Method, follow these steps:
Step 1: Find the prime factors of each number
Prime Factors of 18: 18 = 2 x 3 x 3 = 2 x 3²
Prime Factors of 35: 35 = 5 x 7
Step 2: Now, identify the common prime factors There are no common prime factors.
Step 3: The GCF is 1 since there are no common prime factors.
The Greatest Common Factor of 18 and 35 is 1.
Find the GCF of 18 and 35 using the division method or Euclidean Algorithm Method. Follow these steps:
Step 1: First, divide the larger number by the smaller number Here, divide 35 by 18 35 ÷ 18 = 1 (quotient), The remainder is calculated as 35 − (18×1) = 17 The remainder is 17, not zero, so continue the process
Step 2: Now divide the previous divisor (18) by the previous remainder (17) Divide 18 by 17 18 ÷ 17 = 1 (quotient), remainder = 18 − (17×1) = 1 The remainder is 1, not zero, so continue the process
Step 3: Now divide the previous divisor (17) by the previous remainder (1) 17 ÷ 1 = 17 (quotient), remainder = 17 − (1×17) = 0 The remainder is zero, the divisor will become the GCF. The GCF of 18 and 35 is 1.
Finding the GCF of 18 and 35 seems simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.
A farmer has 18 apples and 35 oranges. She wants to pack them into bags with the largest number of equal fruits in each bag. How many fruits will be in each bag?
We should find the GCF of 18 and 35.
The GCF of 18 and 35 is 1.
There will be 1 fruit in each bag.
As the GCF of 18 and 35 is 1, the farmer can make bags with 1 fruit each.
A gardener has 18 roses and 35 tulips. She wants to arrange them in bouquets with the same number of flowers in each. What is the largest number of flowers each bouquet can have?
The GCF of 18 and 35 is 1. So each bouquet will have 1 flower.
To determine the number of flowers in each bouquet, we find the GCF of 18 and 35, which is 1. Each bouquet will have 1 flower.
A chef has 18 ounces of beef and 35 ounces of chicken. He wants to divide them into the longest possible equal portions. What should be the weight of each portion?
For calculating the longest equal portion, we have to calculate the GCF of 18 and 35.
The GCF of 18 and 35 is 1.
Each portion will weigh 1 ounce.
To calculate the longest portion of the meat, first, we need to calculate the GCF of 18 and 35, which is 1. The weight of each portion will be 1 ounce.
A student has two ribbons, one 18 cm long and the other 35 cm long. He wants to cut them into the longest possible equal pieces, without any ribbon left over. What should be the length of each piece?
The student needs the longest piece of ribbon.
The GCF of 18 and 35 is 1.
The longest length of each piece is 1 cm.
To find the longest length of each piece of the two ribbons, 18 cm and 35 cm, respectively, we have to find the GCF of 18 and 35, which is 1 cm. The longest length of each piece is 1 cm.
If the GCF of 18 and ‘b’ is 2, and the LCM is 90. Find ‘b’.
The value of ‘b’ is 10.
GCF x LCM = product of the numbers
2 × 90 = 18 × b
180 = 18b
b = 180 ÷ 18 = 10
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.
: She loves to read number jokes and games.