What is the Greatest Common Factor of 56880 and 56900?

Greatest common factor (GCF) of 56880 and 56900 is 20.

GCF(56880,56900) = 20

We will now calculate the prime factors of 56880 and 56900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56880 and 56900.

How to find the GCF of 56880 and 56900?

We will first find the prime factorization of 56880 and 56900. After we will calculate the factors of 56880 and 56900 and find the biggest common factor number .

Step-1: Prime Factorization of 56880

Prime factors of 56880 are 2, 3, 5, 79. Prime factorization of 56880 in exponential form is:

56880 = 2⁴ × 3² × 5¹ × 79¹

Step-2: Prime Factorization of 56900

Prime factors of 56900 are 2, 5, 569. Prime factorization of 56900 in exponential form is:

56900 = 2² × 5² × 569¹

Step-3: Factors of 56880

List of positive integer factors of 56880 that divides 56880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 79, 80, 90, 120, 144, 158, 180, 237, 240, 316, 360, 395, 474, 632, 711, 720, 790, 948, 1185, 1264, 1422, 1580, 1896, 2370, 2844, 3160, 3555, 3792, 4740, 5688, 6320, 7110, 9480, 11376, 14220, 18960, 28440

Step-4: Factors of 56900

List of positive integer factors of 56900 that divides 56880 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 569, 1138, 2276, 2845, 5690, 11380, 14225, 28450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56880 and 56900. The biggest common factor number is the GCF number.
So the greatest common factor 56880 and 56900 is 20.

Also check out the Least Common Multiple of 56880 and 56900