What is the Greatest Common Factor of 57510 and 57515?

Greatest common factor (GCF) of 57510 and 57515 is 5.

GCF(57510,57515) = 5

We will now calculate the prime factors of 57510 and 57515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57510 and 57515.

How to find the GCF of 57510 and 57515?

We will first find the prime factorization of 57510 and 57515. After we will calculate the factors of 57510 and 57515 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57515

Prime factors of 57515 are 5, 11503. Prime factorization of 57515 in exponential form is:

57515 = 5¹ × 11503¹

Step-3: Factors of 57510

List of positive integer factors of 57510 that divides 57510 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

Step-4: Factors of 57515

List of positive integer factors of 57515 that divides 57510 without a remainder.

1, 5, 11503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57510 and 57515. The biggest common factor number is the GCF number.
So the greatest common factor 57510 and 57515 is 5.

Also check out the Least Common Multiple of 57510 and 57515