What is the Greatest Common Factor of 56672 and 56676?

Greatest common factor (GCF) of 56672 and 56676 is 4.

GCF(56672,56676) = 4

We will now calculate the prime factors of 56672 and 56676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56672 and 56676.

How to find the GCF of 56672 and 56676?

We will first find the prime factorization of 56672 and 56676. After we will calculate the factors of 56672 and 56676 and find the biggest common factor number .

Step-1: Prime Factorization of 56672

Prime factors of 56672 are 2, 7, 11, 23. Prime factorization of 56672 in exponential form is:

56672 = 2⁵ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 56676

Prime factors of 56676 are 2, 3, 4723. Prime factorization of 56676 in exponential form is:

56676 = 2² × 3¹ × 4723¹

Step-3: Factors of 56672

List of positive integer factors of 56672 that divides 56672 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 23, 28, 32, 44, 46, 56, 77, 88, 92, 112, 154, 161, 176, 184, 224, 253, 308, 322, 352, 368, 506, 616, 644, 736, 1012, 1232, 1288, 1771, 2024, 2464, 2576, 3542, 4048, 5152, 7084, 8096, 14168, 28336

Step-4: Factors of 56676

List of positive integer factors of 56676 that divides 56672 without a remainder.

1, 2, 3, 4, 6, 12, 4723, 9446, 14169, 18892, 28338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56672 and 56676. The biggest common factor number is the GCF number.
So the greatest common factor 56672 and 56676 is 4.

Also check out the Least Common Multiple of 56672 and 56676