What is the Greatest Common Factor of 8564 and 8570?

Greatest common factor (GCF) of 8564 and 8570 is 2.

GCF(8564,8570) = 2

We will now calculate the prime factors of 8564 and 8570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8564 and 8570.

How to find the GCF of 8564 and 8570?

We will first find the prime factorization of 8564 and 8570. After we will calculate the factors of 8564 and 8570 and find the biggest common factor number .

Step-1: Prime Factorization of 8564

Prime factors of 8564 are 2, 2141. Prime factorization of 8564 in exponential form is:

8564 = 2² × 2141¹

Step-2: Prime Factorization of 8570

Prime factors of 8570 are 2, 5, 857. Prime factorization of 8570 in exponential form is:

8570 = 2¹ × 5¹ × 857¹

Step-3: Factors of 8564

List of positive integer factors of 8564 that divides 8564 without a remainder.

1, 2, 4, 2141, 4282

Step-4: Factors of 8570

List of positive integer factors of 8570 that divides 8564 without a remainder.

1, 2, 5, 10, 857, 1714, 4285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8564 and 8570. The biggest common factor number is the GCF number.
So the greatest common factor 8564 and 8570 is 2.

Also check out the Least Common Multiple of 8564 and 8570