What is the Greatest Common Factor of 8671 and 8684?

Greatest common factor (GCF) of 8671 and 8684 is 13.

GCF(8671,8684) = 13

We will now calculate the prime factors of 8671 and 8684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8671 and 8684.

How to find the GCF of 8671 and 8684?

We will first find the prime factorization of 8671 and 8684. After we will calculate the factors of 8671 and 8684 and find the biggest common factor number .

Step-1: Prime Factorization of 8671

Prime factors of 8671 are 13, 23, 29. Prime factorization of 8671 in exponential form is:

8671 = 13¹ × 23¹ × 29¹

Step-2: Prime Factorization of 8684

Prime factors of 8684 are 2, 13, 167. Prime factorization of 8684 in exponential form is:

8684 = 2² × 13¹ × 167¹

Step-3: Factors of 8671

List of positive integer factors of 8671 that divides 8671 without a remainder.

1, 13, 23, 29, 299, 377, 667

Step-4: Factors of 8684

List of positive integer factors of 8684 that divides 8671 without a remainder.

1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8671 and 8684. The biggest common factor number is the GCF number.
So the greatest common factor 8671 and 8684 is 13.

Also check out the Least Common Multiple of 8671 and 8684