What is the Greatest Common Factor of 88986 and 89006?

Greatest common factor (GCF) of 88986 and 89006 is 2.

GCF(88986,89006) = 2

We will now calculate the prime factors of 88986 and 89006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88986 and 89006.

How to find the GCF of 88986 and 89006?

We will first find the prime factorization of 88986 and 89006. After we will calculate the factors of 88986 and 89006 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89006

Prime factors of 89006 are 2, 191, 233. Prime factorization of 89006 in exponential form is:

89006 = 2¹ × 191¹ × 233¹

Step-3: Factors of 88986

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

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

Step-4: Factors of 89006

List of positive integer factors of 89006 that divides 88986 without a remainder.

1, 2, 191, 233, 382, 466, 44503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88986 and 89006. The biggest common factor number is the GCF number.
So the greatest common factor 88986 and 89006 is 2.

Also check out the Least Common Multiple of 88986 and 89006