What is the Greatest Common Factor of 56980 and 57000?

Greatest common factor (GCF) of 56980 and 57000 is 20.

GCF(56980,57000) = 20

We will now calculate the prime factors of 56980 and 57000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56980 and 57000.

How to find the GCF of 56980 and 57000?

We will first find the prime factorization of 56980 and 57000. After we will calculate the factors of 56980 and 57000 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 57000

Prime factors of 57000 are 2, 3, 5, 19. Prime factorization of 57000 in exponential form is:

57000 = 2³ × 3¹ × 5³ × 19¹

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 57000

List of positive integer factors of 57000 that divides 56980 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 25, 30, 38, 40, 50, 57, 60, 75, 76, 95, 100, 114, 120, 125, 150, 152, 190, 200, 228, 250, 285, 300, 375, 380, 456, 475, 500, 570, 600, 750, 760, 950, 1000, 1140, 1425, 1500, 1900, 2280, 2375, 2850, 3000, 3800, 4750, 5700, 7125, 9500, 11400, 14250, 19000, 28500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56980 and 57000. The biggest common factor number is the GCF number.
So the greatest common factor 56980 and 57000 is 20.

Also check out the Least Common Multiple of 56980 and 57000