What is the Greatest Common Factor of 77 and 56?

Greatest common factor (GCF) of 77 and 56 is 7.

GCF(77,56) = 7

We will now calculate the prime factors of 77 and 56, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77 and 56.

How to find the GCF of 77 and 56?

We will first find the prime factorization of 77 and 56. After we will calculate the factors of 77 and 56 and find the biggest common factor number .

Step-1: Prime Factorization of 77

Prime factors of 77 are 7, 11. Prime factorization of 77 in exponential form is:

77 = 7¹ × 11¹

Step-2: Prime Factorization of 56

Prime factors of 56 are 2, 7. Prime factorization of 56 in exponential form is:

56 = 2³ × 7¹

Step-3: Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1, 7, 11

Step-4: Factors of 56

List of positive integer factors of 56 that divides 77 without a remainder.

1, 2, 4, 7, 8, 14, 28

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77 and 56. The biggest common factor number is the GCF number.
So the greatest common factor 77 and 56 is 7.

Also check out the Least Common Multiple of 77 and 56