What is the Greatest Common Factor of 48513 and 48531?

Greatest common factor (GCF) of 48513 and 48531 is 3.

GCF(48513,48531) = 3

We will now calculate the prime factors of 48513 and 48531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48513 and 48531.

How to find the GCF of 48513 and 48531?

We will first find the prime factorization of 48513 and 48531. After we will calculate the factors of 48513 and 48531 and find the biggest common factor number .

Step-1: Prime Factorization of 48513

Prime factors of 48513 are 3, 103, 157. Prime factorization of 48513 in exponential form is:

48513 = 3¹ × 103¹ × 157¹

Step-2: 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-3: Factors of 48513

List of positive integer factors of 48513 that divides 48513 without a remainder.

1, 3, 103, 157, 309, 471, 16171

Step-4: Factors of 48531

List of positive integer factors of 48531 that divides 48513 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48513 and 48531. The biggest common factor number is the GCF number.
So the greatest common factor 48513 and 48531 is 3.

Also check out the Least Common Multiple of 48513 and 48531