What is the Greatest Common Factor of 52548 and 52564?

Greatest common factor (GCF) of 52548 and 52564 is 4.

GCF(52548,52564) = 4

We will now calculate the prime factors of 52548 and 52564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52548 and 52564.

How to find the GCF of 52548 and 52564?

We will first find the prime factorization of 52548 and 52564. After we will calculate the factors of 52548 and 52564 and find the biggest common factor number .

Step-1: Prime Factorization of 52548

Prime factors of 52548 are 2, 3, 29, 151. Prime factorization of 52548 in exponential form is:

52548 = 2² × 3¹ × 29¹ × 151¹

Step-2: Prime Factorization of 52564

Prime factors of 52564 are 2, 17, 773. Prime factorization of 52564 in exponential form is:

52564 = 2² × 17¹ × 773¹

Step-3: Factors of 52548

List of positive integer factors of 52548 that divides 52548 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 151, 174, 302, 348, 453, 604, 906, 1812, 4379, 8758, 13137, 17516, 26274

Step-4: Factors of 52564

List of positive integer factors of 52564 that divides 52548 without a remainder.

1, 2, 4, 17, 34, 68, 773, 1546, 3092, 13141, 26282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52548 and 52564. The biggest common factor number is the GCF number.
So the greatest common factor 52548 and 52564 is 4.

Also check out the Least Common Multiple of 52548 and 52564