What is the GCF of 22 and 33?
GCF (Greatest Common Factor) of 22 and 33 is the largest possible number which divides the numbers 22 and 33 exactly leaving the remainder as 0
Answer: GCF of 22 and 33 is 11
Let us see how to find the GCF of 22 and 33
We can find the GCF by the following two methods.
- Long division Method
- Prime factorization Method
GCF of 22 and 33 by Long Division
- Step 1: Divide 22 by 33 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 the remainder as 0
GCF of 22 and 33 by Prime Factorization
We will express the numbers 22 and 33 as a product of their prime factors.
Prime factorization of 22 is 2 × 11
Prime factorization of 33 is 3 × 11
The common factor in both prime factorization = 11
GCF is the product of the prime factors that are common to the prime factorization of 22 and 33
So, GCF of 22 and 33 is 11
You can find the GCF in any of the above methods but the solution will be the same.