What is the Greatest Common Factor of 52569 and 52581?

Greatest common factor (GCF) of 52569 and 52581 is 3.

GCF(52569,52581) = 3

We will now calculate the prime factors of 52569 and 52581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52569 and 52581.

How to find the GCF of 52569 and 52581?

We will first find the prime factorization of 52569 and 52581. After we will calculate the factors of 52569 and 52581 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 52581

Prime factors of 52581 are 3, 17, 1031. Prime factorization of 52581 in exponential form is:

52581 = 3¹ × 17¹ × 1031¹

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 52581

List of positive integer factors of 52581 that divides 52569 without a remainder.

1, 3, 17, 51, 1031, 3093, 17527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52569 and 52581. The biggest common factor number is the GCF number.
So the greatest common factor 52569 and 52581 is 3.

Also check out the Least Common Multiple of 52569 and 52581