What is the Greatest Common Factor of 8658 and 8671?

Greatest common factor (GCF) of 8658 and 8671 is 13.

GCF(8658,8671) = 13

We will now calculate the prime factors of 8658 and 8671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8658 and 8671.

How to find the GCF of 8658 and 8671?

We will first find the prime factorization of 8658 and 8671. After we will calculate the factors of 8658 and 8671 and find the biggest common factor number .

Step-1: Prime Factorization of 8658

Prime factors of 8658 are 2, 3, 13, 37. Prime factorization of 8658 in exponential form is:

8658 = 2¹ × 3² × 13¹ × 37¹

Step-2: 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-3: Factors of 8658

List of positive integer factors of 8658 that divides 8658 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329

Step-4: Factors of 8671

List of positive integer factors of 8671 that divides 8658 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8658 and 8671. The biggest common factor number is the GCF number.
So the greatest common factor 8658 and 8671 is 13.

Also check out the Least Common Multiple of 8658 and 8671