What is the Greatest Common Factor of 86628 and 86638?

Greatest common factor (GCF) of 86628 and 86638 is 2.

GCF(86628,86638) = 2

We will now calculate the prime factors of 86628 and 86638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86628 and 86638.

How to find the GCF of 86628 and 86638?

We will first find the prime factorization of 86628 and 86638. After we will calculate the factors of 86628 and 86638 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 86638

Prime factors of 86638 are 2, 43319. Prime factorization of 86638 in exponential form is:

86638 = 2¹ × 43319¹

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 86638

List of positive integer factors of 86638 that divides 86628 without a remainder.

1, 2, 43319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86628 and 86638. The biggest common factor number is the GCF number.
So the greatest common factor 86628 and 86638 is 2.

Also check out the Least Common Multiple of 86628 and 86638