What is the Greatest Common Factor of 56672 and 56678?

Greatest common factor (GCF) of 56672 and 56678 is 2.

GCF(56672,56678) = 2

We will now calculate the prime factors of 56672 and 56678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56672 and 56678.

How to find the GCF of 56672 and 56678?

We will first find the prime factorization of 56672 and 56678. After we will calculate the factors of 56672 and 56678 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 56678

Prime factors of 56678 are 2, 17, 1667. Prime factorization of 56678 in exponential form is:

56678 = 2¹ × 17¹ × 1667¹

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 56678

List of positive integer factors of 56678 that divides 56672 without a remainder.

1, 2, 17, 34, 1667, 3334, 28339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56672 and 56678. The biggest common factor number is the GCF number.
So the greatest common factor 56672 and 56678 is 2.

Also check out the Least Common Multiple of 56672 and 56678