What is the Greatest Common Factor of 56658 and 56672?

Greatest common factor (GCF) of 56658 and 56672 is 14.

GCF(56658,56672) = 14

We will now calculate the prime factors of 56658 and 56672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56658 and 56672.

How to find the GCF of 56658 and 56672?

We will first find the prime factorization of 56658 and 56672. After we will calculate the factors of 56658 and 56672 and find the biggest common factor number .

Step-1: Prime Factorization of 56658

Prime factors of 56658 are 2, 3, 7, 19, 71. Prime factorization of 56658 in exponential form is:

56658 = 2¹ × 3¹ × 7¹ × 19¹ × 71¹

Step-2: 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-3: Factors of 56658

List of positive integer factors of 56658 that divides 56658 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 71, 114, 133, 142, 213, 266, 399, 426, 497, 798, 994, 1349, 1491, 2698, 2982, 4047, 8094, 9443, 18886, 28329

Step-4: Factors of 56672

List of positive integer factors of 56672 that divides 56658 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56658 and 56672. The biggest common factor number is the GCF number.
So the greatest common factor 56658 and 56672 is 14.

Also check out the Least Common Multiple of 56658 and 56672