What is the Greatest Common Factor of 48519 and 48528?

Greatest common factor (GCF) of 48519 and 48528 is 9.

GCF(48519,48528) = 9

We will now calculate the prime factors of 48519 and 48528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48519 and 48528.

How to find the GCF of 48519 and 48528?

We will first find the prime factorization of 48519 and 48528. After we will calculate the factors of 48519 and 48528 and find the biggest common factor number .

Step-1: Prime Factorization of 48519

Prime factors of 48519 are 3, 599. Prime factorization of 48519 in exponential form is:

48519 = 3⁴ × 599¹

Step-2: Prime Factorization of 48528

Prime factors of 48528 are 2, 3, 337. Prime factorization of 48528 in exponential form is:

48528 = 2⁴ × 3² × 337¹

Step-3: Factors of 48519

List of positive integer factors of 48519 that divides 48519 without a remainder.

1, 3, 9, 27, 81, 599, 1797, 5391, 16173

Step-4: Factors of 48528

List of positive integer factors of 48528 that divides 48519 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 337, 674, 1011, 1348, 2022, 2696, 3033, 4044, 5392, 6066, 8088, 12132, 16176, 24264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48519 and 48528. The biggest common factor number is the GCF number.
So the greatest common factor 48519 and 48528 is 9.

Also check out the Least Common Multiple of 48519 and 48528