What is the Greatest Common Factor of 86628 and 86643?

Greatest common factor (GCF) of 86628 and 86643 is 3.

GCF(86628,86643) = 3

We will now calculate the prime factors of 86628 and 86643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86628 and 86643.

How to find the GCF of 86628 and 86643?

We will first find the prime factorization of 86628 and 86643. After we will calculate the factors of 86628 and 86643 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 86643

Prime factors of 86643 are 3, 3209. Prime factorization of 86643 in exponential form is:

86643 = 3³ × 3209¹

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 86643

List of positive integer factors of 86643 that divides 86628 without a remainder.

1, 3, 9, 27, 3209, 9627, 28881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86628 and 86643. The biggest common factor number is the GCF number.
So the greatest common factor 86628 and 86643 is 3.

Also check out the Least Common Multiple of 86628 and 86643