What is the GCF of 12 and 14?
GCF (Greatest Common Factor) of 12 and 14 is the largest possible number which divides 12 and 14 exactly without any remainder.
Answer: GCF of 12 and 14 is 2
Let us see how to find the GCF of 12 and 14
Explanation:
We can find the GCF by the following methods
 Prime factorization Method
 Long division Method
GCF(12, 14) by Prime Factorization
Let us represent 12 and 14 as a product of their prime numbers:
Prime factorization of 12 is 3 × 2 × 2
Prime factorization of 14 is 2 × 7
2 is the only common factors in the prime factorization of 12 and 14
GCF is the product of the prime factors that are common to prime factorization of 12 and 14
So, the GCF of 12 and 14 is 2
GCF(12, 14) by Long Division Method

Step 1: Divide 14 by 12 and check the remainder. Here, the remainder is 24

Step 2: Make the remainder 24 as the divisor and the divisor 48 as the dividend and perform the long division again.

Step 3: Continue till you get the remainder as 0 and GCF of 12 and 14 will be the last divisor.
You can find the GCF of 12 and 14 in any of the above methods but the solution will always remain the same.