What is the Greatest Common Factor of 52524 and 52538?

Greatest common factor (GCF) of 52524 and 52538 is 2.

GCF(52524,52538) = 2

We will now calculate the prime factors of 52524 and 52538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52524 and 52538.

How to find the GCF of 52524 and 52538?

We will first find the prime factorization of 52524 and 52538. After we will calculate the factors of 52524 and 52538 and find the biggest common factor number .

Step-1: Prime Factorization of 52524

Prime factors of 52524 are 2, 3, 1459. Prime factorization of 52524 in exponential form is:

52524 = 2² × 3² × 1459¹

Step-2: Prime Factorization of 52538

Prime factors of 52538 are 2, 109, 241. Prime factorization of 52538 in exponential form is:

52538 = 2¹ × 109¹ × 241¹

Step-3: Factors of 52524

List of positive integer factors of 52524 that divides 52524 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1459, 2918, 4377, 5836, 8754, 13131, 17508, 26262

Step-4: Factors of 52538

List of positive integer factors of 52538 that divides 52524 without a remainder.

1, 2, 109, 218, 241, 482, 26269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52524 and 52538. The biggest common factor number is the GCF number.
So the greatest common factor 52524 and 52538 is 2.

Also check out the Least Common Multiple of 52524 and 52538