What is the Greatest Common Factor of 8580 and 8590?

Greatest common factor (GCF) of 8580 and 8590 is 10.

GCF(8580,8590) = 10

We will now calculate the prime factors of 8580 and 8590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8580 and 8590.

How to find the GCF of 8580 and 8590?

We will first find the prime factorization of 8580 and 8590. After we will calculate the factors of 8580 and 8590 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8590

Prime factors of 8590 are 2, 5, 859. Prime factorization of 8590 in exponential form is:

8590 = 2¹ × 5¹ × 859¹

Step-3: Factors of 8580

List of positive integer factors of 8580 that divides 8580 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

Step-4: Factors of 8590

List of positive integer factors of 8590 that divides 8580 without a remainder.

1, 2, 5, 10, 859, 1718, 4295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8580 and 8590. The biggest common factor number is the GCF number.
So the greatest common factor 8580 and 8590 is 10.

Also check out the Least Common Multiple of 8580 and 8590