What is the Greatest Common Factor of 86622 and 86628?

Greatest common factor (GCF) of 86622 and 86628 is 6.

GCF(86622,86628) = 6

We will now calculate the prime factors of 86622 and 86628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86622 and 86628.

How to find the GCF of 86622 and 86628?

We will first find the prime factorization of 86622 and 86628. After we will calculate the factors of 86622 and 86628 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 86628

Prime factors of 86628 are 2, 3, 7219. Prime factorization of 86628 in exponential form is:

86628 = 2² × 3¹ × 7219¹

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 86628

List of positive integer factors of 86628 that divides 86622 without a remainder.

1, 2, 3, 4, 6, 12, 7219, 14438, 21657, 28876, 43314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86622 and 86628. The biggest common factor number is the GCF number.
So the greatest common factor 86622 and 86628 is 6.

Also check out the Least Common Multiple of 86622 and 86628