What is the Greatest Common Factor of 56672 and 56689?

Greatest common factor (GCF) of 56672 and 56689 is 1.

GCF(56672,56689) = 1

We will now calculate the prime factors of 56672 and 56689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56672 and 56689.

How to find the GCF of 56672 and 56689?

We will first find the prime factorization of 56672 and 56689. After we will calculate the factors of 56672 and 56689 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 56689

Prime factors of 56689 are 83, 683. Prime factorization of 56689 in exponential form is:

56689 = 83¹ × 683¹

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 56689

List of positive integer factors of 56689 that divides 56672 without a remainder.

1, 83, 683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56672 and 56689. The biggest common factor number is the GCF number.
So the greatest common factor 56672 and 56689 is 1.

Also check out the Least Common Multiple of 56672 and 56689