What is the Greatest Common Factor of 86628 and 86642?

Greatest common factor (GCF) of 86628 and 86642 is 2.

GCF(86628,86642) = 2

We will now calculate the prime factors of 86628 and 86642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86628 and 86642.

How to find the GCF of 86628 and 86642?

We will first find the prime factorization of 86628 and 86642. After we will calculate the factors of 86628 and 86642 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86642

Prime factors of 86642 are 2, 43321. Prime factorization of 86642 in exponential form is:

86642 = 2¹ × 43321¹

Step-3: Factors of 86628

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

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

Step-4: Factors of 86642

List of positive integer factors of 86642 that divides 86628 without a remainder.

1, 2, 43321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86628 and 86642. The biggest common factor number is the GCF number.
So the greatest common factor 86628 and 86642 is 2.

Also check out the Least Common Multiple of 86628 and 86642