What is the Greatest Common Factor of 88695 and 88701?

Greatest common factor (GCF) of 88695 and 88701 is 3.

GCF(88695,88701) = 3

We will now calculate the prime factors of 88695 and 88701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88695 and 88701.

How to find the GCF of 88695 and 88701?

We will first find the prime factorization of 88695 and 88701. After we will calculate the factors of 88695 and 88701 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 88701

Prime factors of 88701 are 3, 29567. Prime factorization of 88701 in exponential form is:

88701 = 3¹ × 29567¹

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 88701

List of positive integer factors of 88701 that divides 88695 without a remainder.

1, 3, 29567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88695 and 88701. The biggest common factor number is the GCF number.
So the greatest common factor 88695 and 88701 is 3.

Also check out the Least Common Multiple of 88695 and 88701