What is the Greatest Common Factor of 88971 and 88986?

Greatest common factor (GCF) of 88971 and 88986 is 3.

GCF(88971,88986) = 3

We will now calculate the prime factors of 88971 and 88986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88971 and 88986.

How to find the GCF of 88971 and 88986?

We will first find the prime factorization of 88971 and 88986. After we will calculate the factors of 88971 and 88986 and find the biggest common factor number .

Step-1: Prime Factorization of 88971

Prime factors of 88971 are 3, 47, 631. Prime factorization of 88971 in exponential form is:

88971 = 3¹ × 47¹ × 631¹

Step-2: Prime Factorization of 88986

Prime factors of 88986 are 2, 3, 14831. Prime factorization of 88986 in exponential form is:

88986 = 2¹ × 3¹ × 14831¹

Step-3: Factors of 88971

List of positive integer factors of 88971 that divides 88971 without a remainder.

1, 3, 47, 141, 631, 1893, 29657

Step-4: Factors of 88986

List of positive integer factors of 88986 that divides 88971 without a remainder.

1, 2, 3, 6, 14831, 29662, 44493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88971 and 88986. The biggest common factor number is the GCF number.
So the greatest common factor 88971 and 88986 is 3.

Also check out the Least Common Multiple of 88971 and 88986