What is the Greatest Common Factor of 52527 and 52538?

Greatest common factor (GCF) of 52527 and 52538 is 1.

GCF(52527,52538) = 1

We will now calculate the prime factors of 52527 and 52538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52527 and 52538.

How to find the GCF of 52527 and 52538?

We will first find the prime factorization of 52527 and 52538. After we will calculate the factors of 52527 and 52538 and find the biggest common factor number .

Step-1: Prime Factorization of 52527

Prime factors of 52527 are 3, 17509. Prime factorization of 52527 in exponential form is:

52527 = 3¹ × 17509¹

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 52527

List of positive integer factors of 52527 that divides 52527 without a remainder.

1, 3, 17509

Step-4: Factors of 52538

List of positive integer factors of 52538 that divides 52527 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52527 and 52538. The biggest common factor number is the GCF number.
So the greatest common factor 52527 and 52538 is 1.

Also check out the Least Common Multiple of 52527 and 52538