What is the Greatest Common Factor of 56672 and 56686?

Greatest common factor (GCF) of 56672 and 56686 is 14.

GCF(56672,56686) = 14

We will now calculate the prime factors of 56672 and 56686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56672 and 56686.

How to find the GCF of 56672 and 56686?

We will first find the prime factorization of 56672 and 56686. After we will calculate the factors of 56672 and 56686 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 56686

Prime factors of 56686 are 2, 7, 4049. Prime factorization of 56686 in exponential form is:

56686 = 2¹ × 7¹ × 4049¹

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 56686

List of positive integer factors of 56686 that divides 56672 without a remainder.

1, 2, 7, 14, 4049, 8098, 28343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56672 and 56686. The biggest common factor number is the GCF number.
So the greatest common factor 56672 and 56686 is 14.

Also check out the Least Common Multiple of 56672 and 56686