What is the Greatest Common Factor of 88959 and 88965?

Greatest common factor (GCF) of 88959 and 88965 is 3.

GCF(88959,88965) = 3

We will now calculate the prime factors of 88959 and 88965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88959 and 88965.

How to find the GCF of 88959 and 88965?

We will first find the prime factorization of 88959 and 88965. After we will calculate the factors of 88959 and 88965 and find the biggest common factor number .

Step-1: Prime Factorization of 88959

Prime factors of 88959 are 3, 13, 2281. Prime factorization of 88959 in exponential form is:

88959 = 3¹ × 13¹ × 2281¹

Step-2: Prime Factorization of 88965

Prime factors of 88965 are 3, 5, 659. Prime factorization of 88965 in exponential form is:

88965 = 3³ × 5¹ × 659¹

Step-3: Factors of 88959

List of positive integer factors of 88959 that divides 88959 without a remainder.

1, 3, 13, 39, 2281, 6843, 29653

Step-4: Factors of 88965

List of positive integer factors of 88965 that divides 88959 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 659, 1977, 3295, 5931, 9885, 17793, 29655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88959 and 88965. The biggest common factor number is the GCF number.
So the greatest common factor 88959 and 88965 is 3.

Also check out the Least Common Multiple of 88959 and 88965