What is the Greatest Common Factor of 8670 and 8675?

Greatest common factor (GCF) of 8670 and 8675 is 5.

GCF(8670,8675) = 5

We will now calculate the prime factors of 8670 and 8675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8670 and 8675.

How to find the GCF of 8670 and 8675?

We will first find the prime factorization of 8670 and 8675. After we will calculate the factors of 8670 and 8675 and find the biggest common factor number .

Step-1: Prime Factorization of 8670

Prime factors of 8670 are 2, 3, 5, 17. Prime factorization of 8670 in exponential form is:

8670 = 2¹ × 3¹ × 5¹ × 17²

Step-2: Prime Factorization of 8675

Prime factors of 8675 are 5, 347. Prime factorization of 8675 in exponential form is:

8675 = 5² × 347¹

Step-3: Factors of 8670

List of positive integer factors of 8670 that divides 8670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 289, 510, 578, 867, 1445, 1734, 2890, 4335

Step-4: Factors of 8675

List of positive integer factors of 8675 that divides 8670 without a remainder.

1, 5, 25, 347, 1735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8670 and 8675. The biggest common factor number is the GCF number.
So the greatest common factor 8670 and 8675 is 5.

Also check out the Least Common Multiple of 8670 and 8675