What is the GCF of 24 and 36?
Greatest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.
Answer: GCF of 24 and 36 is 12
We can find the GCF by the following methods
Methods to find GCF of 24 and 36
Prime factorization Method
Listing the common factors method
Long division Method
Method 1: GCF of 24 and 36 by Prime Factorization
Let us represent 24 and 36 as a product of its prime numbers
GCF is the product of the factors that are common to each of the given numbers.
GCF is 2 × 2 × 3 = 12
Method 2: GCF of 24 and 36 by Listing the Common Factors
Common Factors of 24 and 36 : 1, 2, 3, 4, 6, 12
GCF of 24 and 36 is 12, the highest among the common factors.
Method 3: GCF of 24 and 36 by Long Division
- Step 1: Divide 36 by 24 and check the remainder.
- Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Step 3: Continue till you get remainder as 0
You can find the GCF in any of the above methods but the solution will be the same.