What is the Greatest Common Factor of 56966 and 56980?

Greatest common factor (GCF) of 56966 and 56980 is 14.

GCF(56966,56980) = 14

We will now calculate the prime factors of 56966 and 56980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56966 and 56980.

How to find the GCF of 56966 and 56980?

We will first find the prime factorization of 56966 and 56980. After we will calculate the factors of 56966 and 56980 and find the biggest common factor number .

Step-1: Prime Factorization of 56966

Prime factors of 56966 are 2, 7, 13, 313. Prime factorization of 56966 in exponential form is:

56966 = 2¹ × 7¹ × 13¹ × 313¹

Step-2: 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-3: Factors of 56966

List of positive integer factors of 56966 that divides 56966 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 313, 626, 2191, 4069, 4382, 8138, 28483

Step-4: Factors of 56980

List of positive integer factors of 56980 that divides 56966 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56966 and 56980. The biggest common factor number is the GCF number.
So the greatest common factor 56966 and 56980 is 14.

Also check out the Least Common Multiple of 56966 and 56980