What is the Greatest Common Factor of 56980 and 56992?

Greatest common factor (GCF) of 56980 and 56992 is 4.

GCF(56980,56992) = 4

We will now calculate the prime factors of 56980 and 56992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56980 and 56992.

How to find the GCF of 56980 and 56992?

We will first find the prime factorization of 56980 and 56992. After we will calculate the factors of 56980 and 56992 and find the biggest common factor number .

Step-1: Prime Factorization of 56980

Prime factors of 56980 are 2, 5, 7, 11, 37. Prime factorization of 56980 in exponential form is:

56980 = 2² × 5¹ × 7¹ × 11¹ × 37¹

Step-2: Prime Factorization of 56992

Prime factors of 56992 are 2, 13, 137. Prime factorization of 56992 in exponential form is:

56992 = 2⁵ × 13¹ × 137¹

Step-3: Factors of 56980

List of positive integer factors of 56980 that divides 56980 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 37, 44, 55, 70, 74, 77, 110, 140, 148, 154, 185, 220, 259, 308, 370, 385, 407, 518, 740, 770, 814, 1036, 1295, 1540, 1628, 2035, 2590, 2849, 4070, 5180, 5698, 8140, 11396, 14245, 28490

Step-4: Factors of 56992

List of positive integer factors of 56992 that divides 56980 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 137, 208, 274, 416, 548, 1096, 1781, 2192, 3562, 4384, 7124, 14248, 28496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56980 and 56992. The biggest common factor number is the GCF number.
So the greatest common factor 56980 and 56992 is 4.

Also check out the Least Common Multiple of 56980 and 56992