What is the Greatest Common Factor of 57480 and 57500?

Greatest common factor (GCF) of 57480 and 57500 is 20.

GCF(57480,57500) = 20

We will now calculate the prime factors of 57480 and 57500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57480 and 57500.

How to find the GCF of 57480 and 57500?

We will first find the prime factorization of 57480 and 57500. After we will calculate the factors of 57480 and 57500 and find the biggest common factor number .

Step-1: Prime Factorization of 57480

Prime factors of 57480 are 2, 3, 5, 479. Prime factorization of 57480 in exponential form is:

57480 = 2³ × 3¹ × 5¹ × 479¹

Step-2: Prime Factorization of 57500

Prime factors of 57500 are 2, 5, 23. Prime factorization of 57500 in exponential form is:

57500 = 2² × 5⁴ × 23¹

Step-3: Factors of 57480

List of positive integer factors of 57480 that divides 57480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 479, 958, 1437, 1916, 2395, 2874, 3832, 4790, 5748, 7185, 9580, 11496, 14370, 19160, 28740

Step-4: Factors of 57500

List of positive integer factors of 57500 that divides 57480 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 125, 230, 250, 460, 500, 575, 625, 1150, 1250, 2300, 2500, 2875, 5750, 11500, 14375, 28750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57480 and 57500. The biggest common factor number is the GCF number.
So the greatest common factor 57480 and 57500 is 20.

Also check out the Least Common Multiple of 57480 and 57500