What is the Greatest Common Factor of 52544 and 52562?

Greatest common factor (GCF) of 52544 and 52562 is 2.

GCF(52544,52562) = 2

We will now calculate the prime factors of 52544 and 52562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52544 and 52562.

How to find the GCF of 52544 and 52562?

We will first find the prime factorization of 52544 and 52562. After we will calculate the factors of 52544 and 52562 and find the biggest common factor number .

Step-1: Prime Factorization of 52544

Prime factors of 52544 are 2, 821. Prime factorization of 52544 in exponential form is:

52544 = 2⁶ × 821¹

Step-2: Prime Factorization of 52562

Prime factors of 52562 are 2, 41, 641. Prime factorization of 52562 in exponential form is:

52562 = 2¹ × 41¹ × 641¹

Step-3: Factors of 52544

List of positive integer factors of 52544 that divides 52544 without a remainder.

1, 2, 4, 8, 16, 32, 64, 821, 1642, 3284, 6568, 13136, 26272

Step-4: Factors of 52562

List of positive integer factors of 52562 that divides 52544 without a remainder.

1, 2, 41, 82, 641, 1282, 26281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52544 and 52562. The biggest common factor number is the GCF number.
So the greatest common factor 52544 and 52562 is 2.

Also check out the Least Common Multiple of 52544 and 52562