What is the Greatest Common Factor of 86622 and 86631?

Greatest common factor (GCF) of 86622 and 86631 is 3.

GCF(86622,86631) = 3

We will now calculate the prime factors of 86622 and 86631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86622 and 86631.

How to find the GCF of 86622 and 86631?

We will first find the prime factorization of 86622 and 86631. After we will calculate the factors of 86622 and 86631 and find the biggest common factor number .

Step-1: Prime Factorization of 86622

Prime factors of 86622 are 2, 3, 14437. Prime factorization of 86622 in exponential form is:

86622 = 2¹ × 3¹ × 14437¹

Step-2: 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-3: Factors of 86622

List of positive integer factors of 86622 that divides 86622 without a remainder.

1, 2, 3, 6, 14437, 28874, 43311

Step-4: Factors of 86631

List of positive integer factors of 86631 that divides 86622 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86622 and 86631. The biggest common factor number is the GCF number.
So the greatest common factor 86622 and 86631 is 3.

Also check out the Least Common Multiple of 86622 and 86631