What is the Greatest Common Factor of 88947 and 88959?

Greatest common factor (GCF) of 88947 and 88959 is 3.

GCF(88947,88959) = 3

We will now calculate the prime factors of 88947 and 88959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88947 and 88959.

How to find the GCF of 88947 and 88959?

We will first find the prime factorization of 88947 and 88959. After we will calculate the factors of 88947 and 88959 and find the biggest common factor number .

Step-1: Prime Factorization of 88947

Prime factors of 88947 are 3, 9883. Prime factorization of 88947 in exponential form is:

88947 = 3² × 9883¹

Step-2: 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-3: Factors of 88947

List of positive integer factors of 88947 that divides 88947 without a remainder.

1, 3, 9, 9883, 29649

Step-4: Factors of 88959

List of positive integer factors of 88959 that divides 88947 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88947 and 88959. The biggest common factor number is the GCF number.
So the greatest common factor 88947 and 88959 is 3.

Also check out the Least Common Multiple of 88947 and 88959