What is the Greatest Common Factor of 8560 and 8570?

Greatest common factor (GCF) of 8560 and 8570 is 10.

GCF(8560,8570) = 10

We will now calculate the prime factors of 8560 and 8570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8560 and 8570.

How to find the GCF of 8560 and 8570?

We will first find the prime factorization of 8560 and 8570. After we will calculate the factors of 8560 and 8570 and find the biggest common factor number .

Step-1: Prime Factorization of 8560

Prime factors of 8560 are 2, 5, 107. Prime factorization of 8560 in exponential form is:

8560 = 2⁴ × 5¹ × 107¹

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 8560

List of positive integer factors of 8560 that divides 8560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 107, 214, 428, 535, 856, 1070, 1712, 2140, 4280

Step-4: Factors of 8570

List of positive integer factors of 8570 that divides 8560 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8560 and 8570. The biggest common factor number is the GCF number.
So the greatest common factor 8560 and 8570 is 10.

Also check out the Least Common Multiple of 8560 and 8570