What is the Greatest Common Factor of 52508 and 52512?

Greatest common factor (GCF) of 52508 and 52512 is 4.

GCF(52508,52512) = 4

We will now calculate the prime factors of 52508 and 52512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52508 and 52512.

How to find the GCF of 52508 and 52512?

We will first find the prime factorization of 52508 and 52512. After we will calculate the factors of 52508 and 52512 and find the biggest common factor number .

Step-1: Prime Factorization of 52508

Prime factors of 52508 are 2, 13127. Prime factorization of 52508 in exponential form is:

52508 = 2² × 13127¹

Step-2: Prime Factorization of 52512

Prime factors of 52512 are 2, 3, 547. Prime factorization of 52512 in exponential form is:

52512 = 2⁵ × 3¹ × 547¹

Step-3: Factors of 52508

List of positive integer factors of 52508 that divides 52508 without a remainder.

1, 2, 4, 13127, 26254

Step-4: Factors of 52512

List of positive integer factors of 52512 that divides 52508 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 547, 1094, 1641, 2188, 3282, 4376, 6564, 8752, 13128, 17504, 26256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52508 and 52512. The biggest common factor number is the GCF number.
So the greatest common factor 52508 and 52512 is 4.

Also check out the Least Common Multiple of 52508 and 52512