What is the GCF of 9 and 24?
GCF (Greatest Common Factor) of 9 and 24 is the greatest number that divides the two numbers exactly leaving the remainder 0
Answer: GCF of 9 and 24 is 3
Let us see how to find the GCF of 9 and 24
We can find the GCF by the following methods.
Long division Method
Prime factorization Method
GCF of 9 and 24 by Long Division
Step 1: Divide the larger number 24 by the smaller number 9 and check the remainder. Here, the remainder is 6
Step 2: Make the remainder 6 as the divisor and the divisor 9 as the dividend and perform the long division again.
Step 3: Continue till you get the remainder as 0 and the last divisor of the process will be the greatest common factor of 9 and 24
GCF of 9 and 24 by Prime Factorization
Let us represent 9 and 24 as a product of its prime numbers
Prime factorization of 9 is 3 × 3
Prime factorization of 24 is 2 × 2 × 2 × 3
The common factor in the Prime factorization of 9 and 24 is 3
GCF is the product of the prime factors that are common to each of the given numbers.
GCF of 9 and 24 is 3
You can find the GCF in any of the above methods but the solution will be the same.