What is the Greatest Common Factor of 56672 and 56692?

Greatest common factor (GCF) of 56672 and 56692 is 4.

GCF(56672,56692) = 4

We will now calculate the prime factors of 56672 and 56692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56672 and 56692.

How to find the GCF of 56672 and 56692?

We will first find the prime factorization of 56672 and 56692. After we will calculate the factors of 56672 and 56692 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 56692

Prime factors of 56692 are 2, 14173. Prime factorization of 56692 in exponential form is:

56692 = 2² × 14173¹

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 56692

List of positive integer factors of 56692 that divides 56672 without a remainder.

1, 2, 4, 14173, 28346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56672 and 56692. The biggest common factor number is the GCF number.
So the greatest common factor 56672 and 56692 is 4.

Also check out the Least Common Multiple of 56672 and 56692