What is the Greatest Common Factor of 57500 and 57510?

Greatest common factor (GCF) of 57500 and 57510 is 10.

GCF(57500,57510) = 10

We will now calculate the prime factors of 57500 and 57510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57500 and 57510.

How to find the GCF of 57500 and 57510?

We will first find the prime factorization of 57500 and 57510. After we will calculate the factors of 57500 and 57510 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57510

Prime factors of 57510 are 2, 3, 5, 71. Prime factorization of 57510 in exponential form is:

57510 = 2¹ × 3⁴ × 5¹ × 71¹

Step-3: Factors of 57500

List of positive integer factors of 57500 that divides 57500 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

Step-4: Factors of 57510

List of positive integer factors of 57510 that divides 57500 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 71, 81, 90, 135, 142, 162, 213, 270, 355, 405, 426, 639, 710, 810, 1065, 1278, 1917, 2130, 3195, 3834, 5751, 6390, 9585, 11502, 19170, 28755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57500 and 57510. The biggest common factor number is the GCF number.
So the greatest common factor 57500 and 57510 is 10.

Also check out the Least Common Multiple of 57500 and 57510