What is the Greatest Common Factor of 8580 and 8591?

Greatest common factor (GCF) of 8580 and 8591 is 11.

GCF(8580,8591) = 11

We will now calculate the prime factors of 8580 and 8591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8580 and 8591.

How to find the GCF of 8580 and 8591?

We will first find the prime factorization of 8580 and 8591. After we will calculate the factors of 8580 and 8591 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 8591

Prime factors of 8591 are 11, 71. Prime factorization of 8591 in exponential form is:

8591 = 11² × 71¹

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 8591

List of positive integer factors of 8591 that divides 8580 without a remainder.

1, 11, 71, 121, 781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8580 and 8591. The biggest common factor number is the GCF number.
So the greatest common factor 8580 and 8591 is 11.

Also check out the Least Common Multiple of 8580 and 8591