What is the Greatest Common Factor of 86631 and 86637?

Greatest common factor (GCF) of 86631 and 86637 is 3.

GCF(86631,86637) = 3

We will now calculate the prime factors of 86631 and 86637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86631 and 86637.

How to find the GCF of 86631 and 86637?

We will first find the prime factorization of 86631 and 86637. After we will calculate the factors of 86631 and 86637 and find the biggest common factor number .

Step-1: Prime Factorization of 86631

Prime factors of 86631 are 3, 67, 431. Prime factorization of 86631 in exponential form is:

86631 = 3¹ × 67¹ × 431¹

Step-2: Prime Factorization of 86637

Prime factors of 86637 are 3, 28879. Prime factorization of 86637 in exponential form is:

86637 = 3¹ × 28879¹

Step-3: Factors of 86631

List of positive integer factors of 86631 that divides 86631 without a remainder.

1, 3, 67, 201, 431, 1293, 28877

Step-4: Factors of 86637

List of positive integer factors of 86637 that divides 86631 without a remainder.

1, 3, 28879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86631 and 86637. The biggest common factor number is the GCF number.
So the greatest common factor 86631 and 86637 is 3.

Also check out the Least Common Multiple of 86631 and 86637