What is the Greatest Common Factor of 48531 and 48537?

Greatest common factor (GCF) of 48531 and 48537 is 3.

GCF(48531,48537) = 3

We will now calculate the prime factors of 48531 and 48537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48531 and 48537.

How to find the GCF of 48531 and 48537?

We will first find the prime factorization of 48531 and 48537. After we will calculate the factors of 48531 and 48537 and find the biggest common factor number .

Step-1: Prime Factorization of 48531

Prime factors of 48531 are 3, 7, 2311. Prime factorization of 48531 in exponential form is:

48531 = 3¹ × 7¹ × 2311¹

Step-2: Prime Factorization of 48537

Prime factors of 48537 are 3, 5393. Prime factorization of 48537 in exponential form is:

48537 = 3² × 5393¹

Step-3: Factors of 48531

List of positive integer factors of 48531 that divides 48531 without a remainder.

1, 3, 7, 21, 2311, 6933, 16177

Step-4: Factors of 48537

List of positive integer factors of 48537 that divides 48531 without a remainder.

1, 3, 9, 5393, 16179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48531 and 48537. The biggest common factor number is the GCF number.
So the greatest common factor 48531 and 48537 is 3.

Also check out the Least Common Multiple of 48531 and 48537