What is the Greatest Common Factor of 48519 and 48534?

Greatest common factor (GCF) of 48519 and 48534 is 3.

GCF(48519,48534) = 3

We will now calculate the prime factors of 48519 and 48534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48519 and 48534.

How to find the GCF of 48519 and 48534?

We will first find the prime factorization of 48519 and 48534. After we will calculate the factors of 48519 and 48534 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 48534

Prime factors of 48534 are 2, 3, 8089. Prime factorization of 48534 in exponential form is:

48534 = 2¹ × 3¹ × 8089¹

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 48534

List of positive integer factors of 48534 that divides 48519 without a remainder.

1, 2, 3, 6, 8089, 16178, 24267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48519 and 48534. The biggest common factor number is the GCF number.
So the greatest common factor 48519 and 48534 is 3.

Also check out the Least Common Multiple of 48519 and 48534