What is the Greatest Common Factor of 52532 and 52544?

Greatest common factor (GCF) of 52532 and 52544 is 4.

GCF(52532,52544) = 4

We will now calculate the prime factors of 52532 and 52544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52532 and 52544.

How to find the GCF of 52532 and 52544?

We will first find the prime factorization of 52532 and 52544. After we will calculate the factors of 52532 and 52544 and find the biggest common factor number .

Step-1: Prime Factorization of 52532

Prime factors of 52532 are 2, 23, 571. Prime factorization of 52532 in exponential form is:

52532 = 2² × 23¹ × 571¹

Step-2: Prime Factorization of 52544

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

52544 = 2⁶ × 821¹

Step-3: Factors of 52532

List of positive integer factors of 52532 that divides 52532 without a remainder.

1, 2, 4, 23, 46, 92, 571, 1142, 2284, 13133, 26266

Step-4: Factors of 52544

List of positive integer factors of 52544 that divides 52532 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52532 and 52544. The biggest common factor number is the GCF number.
So the greatest common factor 52532 and 52544 is 4.

Also check out the Least Common Multiple of 52532 and 52544