What is the Greatest Common Factor of 88710 and 88725?

Greatest common factor (GCF) of 88710 and 88725 is 15.

GCF(88710,88725) = 15

We will now calculate the prime factors of 88710 and 88725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88710 and 88725.

How to find the GCF of 88710 and 88725?

We will first find the prime factorization of 88710 and 88725. After we will calculate the factors of 88710 and 88725 and find the biggest common factor number .

Step-1: Prime Factorization of 88710

Prime factors of 88710 are 2, 3, 5, 2957. Prime factorization of 88710 in exponential form is:

88710 = 2¹ × 3¹ × 5¹ × 2957¹

Step-2: Prime Factorization of 88725

Prime factors of 88725 are 3, 5, 7, 13. Prime factorization of 88725 in exponential form is:

88725 = 3¹ × 5² × 7¹ × 13²

Step-3: Factors of 88710

List of positive integer factors of 88710 that divides 88710 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2957, 5914, 8871, 14785, 17742, 29570, 44355

Step-4: Factors of 88725

List of positive integer factors of 88725 that divides 88710 without a remainder.

1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 169, 175, 195, 273, 325, 455, 507, 525, 845, 975, 1183, 1365, 2275, 2535, 3549, 4225, 5915, 6825, 12675, 17745, 29575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88710 and 88725. The biggest common factor number is the GCF number.
So the greatest common factor 88710 and 88725 is 15.

Also check out the Least Common Multiple of 88710 and 88725