What is the GCF of 42 and 56?
GCF (Highest Common Factor) of two numbers, 42 and 56 is the largest possible number that divides the numbers 42 and 56 exactly without any remainder.
Answer: GCF of 42 and 56 is 14
We can find the GCF by the following two methods:
Methods to find GCF of 42 and 56

Prime factorization Method

Long division Method
Method 1: GCF of 42 and 56 by Prime Factorization
Let us represent 42 and 56 as a product of its prime numbers
Prime factorization of 42 is 2 × 3 × 7
Prime factorization of 56 is 2 × 2 × 2 × 7
Common factors = 2, 7
GCF of 42 and 56 is the product of the prime factors that are common to each of the given numbers.
GCF of 42 and 56 is 14
Method 2: GCF of 42 and 56 by Long Division

Step 1: Divide the largest number 56 by the smaller number 42 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 and GCF of 42 and 56 is the last divisor obtained.
You can find the GCF of 42 and 56 in any of the above methods but the solution will be the same.