What is the Greatest Common Factor of 56980 and 56994?

Greatest common factor (GCF) of 56980 and 56994 is 14.

GCF(56980,56994) = 14

We will now calculate the prime factors of 56980 and 56994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56980 and 56994.

How to find the GCF of 56980 and 56994?

We will first find the prime factorization of 56980 and 56994. After we will calculate the factors of 56980 and 56994 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 56994

Prime factors of 56994 are 2, 3, 7, 23, 59. Prime factorization of 56994 in exponential form is:

56994 = 2¹ × 3¹ × 7¹ × 23¹ × 59¹

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 56994

List of positive integer factors of 56994 that divides 56980 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 59, 69, 118, 138, 161, 177, 322, 354, 413, 483, 826, 966, 1239, 1357, 2478, 2714, 4071, 8142, 9499, 18998, 28497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56980 and 56994. The biggest common factor number is the GCF number.
So the greatest common factor 56980 and 56994 is 14.

Also check out the Least Common Multiple of 56980 and 56994