What is the Greatest Common Factor of 88695 and 88710?

Greatest common factor (GCF) of 88695 and 88710 is 15.

GCF(88695,88710) = 15

We will now calculate the prime factors of 88695 and 88710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88695 and 88710.

How to find the GCF of 88695 and 88710?

We will first find the prime factorization of 88695 and 88710. After we will calculate the factors of 88695 and 88710 and find the biggest common factor number .

Step-1: Prime Factorization of 88695

Prime factors of 88695 are 3, 5, 73. Prime factorization of 88695 in exponential form is:

88695 = 3⁵ × 5¹ × 73¹

Step-2: 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-3: Factors of 88695

List of positive integer factors of 88695 that divides 88695 without a remainder.

1, 3, 5, 9, 15, 27, 45, 73, 81, 135, 219, 243, 365, 405, 657, 1095, 1215, 1971, 3285, 5913, 9855, 17739, 29565

Step-4: Factors of 88710

List of positive integer factors of 88710 that divides 88695 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88695 and 88710. The biggest common factor number is the GCF number.
So the greatest common factor 88695 and 88710 is 15.

Also check out the Least Common Multiple of 88695 and 88710