What is the Greatest Common Factor of 56980 and 56990?

Greatest common factor (GCF) of 56980 and 56990 is 10.

GCF(56980,56990) = 10

We will now calculate the prime factors of 56980 and 56990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56980 and 56990.

How to find the GCF of 56980 and 56990?

We will first find the prime factorization of 56980 and 56990. After we will calculate the factors of 56980 and 56990 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 56990

Prime factors of 56990 are 2, 5, 41, 139. Prime factorization of 56990 in exponential form is:

56990 = 2¹ × 5¹ × 41¹ × 139¹

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 56990

List of positive integer factors of 56990 that divides 56980 without a remainder.

1, 2, 5, 10, 41, 82, 139, 205, 278, 410, 695, 1390, 5699, 11398, 28495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56980 and 56990. The biggest common factor number is the GCF number.
So the greatest common factor 56980 and 56990 is 10.

Also check out the Least Common Multiple of 56980 and 56990