What is the Greatest Common Factor of 8570 and 8580?

Greatest common factor (GCF) of 8570 and 8580 is 10.

GCF(8570,8580) = 10

We will now calculate the prime factors of 8570 and 8580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8570 and 8580.

How to find the GCF of 8570 and 8580?

We will first find the prime factorization of 8570 and 8580. After we will calculate the factors of 8570 and 8580 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8580

Prime factors of 8580 are 2, 3, 5, 11, 13. Prime factorization of 8580 in exponential form is:

8580 = 2² × 3¹ × 5¹ × 11¹ × 13¹

Step-3: Factors of 8570

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

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

Step-4: Factors of 8580

List of positive integer factors of 8580 that divides 8570 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8570 and 8580. The biggest common factor number is the GCF number.
So the greatest common factor 8570 and 8580 is 10.

Also check out the Least Common Multiple of 8570 and 8580