What is the Greatest Common Factor of 52569 and 52580?

Greatest common factor (GCF) of 52569 and 52580 is 11.

GCF(52569,52580) = 11

We will now calculate the prime factors of 52569 and 52580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52569 and 52580.

How to find the GCF of 52569 and 52580?

We will first find the prime factorization of 52569 and 52580. After we will calculate the factors of 52569 and 52580 and find the biggest common factor number .

Step-1: Prime Factorization of 52569

Prime factors of 52569 are 3, 11, 59. Prime factorization of 52569 in exponential form is:

52569 = 3⁴ × 11¹ × 59¹

Step-2: Prime Factorization of 52580

Prime factors of 52580 are 2, 5, 11, 239. Prime factorization of 52580 in exponential form is:

52580 = 2² × 5¹ × 11¹ × 239¹

Step-3: Factors of 52569

List of positive integer factors of 52569 that divides 52569 without a remainder.

1, 3, 9, 11, 27, 33, 59, 81, 99, 177, 297, 531, 649, 891, 1593, 1947, 4779, 5841, 17523

Step-4: Factors of 52580

List of positive integer factors of 52580 that divides 52569 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 239, 478, 956, 1195, 2390, 2629, 4780, 5258, 10516, 13145, 26290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52569 and 52580. The biggest common factor number is the GCF number.
So the greatest common factor 52569 and 52580 is 11.

Also check out the Least Common Multiple of 52569 and 52580