What is the Greatest Common Factor of 48504 and 48519?

Greatest common factor (GCF) of 48504 and 48519 is 3.

GCF(48504,48519) = 3

We will now calculate the prime factors of 48504 and 48519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48504 and 48519.

How to find the GCF of 48504 and 48519?

We will first find the prime factorization of 48504 and 48519. After we will calculate the factors of 48504 and 48519 and find the biggest common factor number .

Step-1: Prime Factorization of 48504

Prime factors of 48504 are 2, 3, 43, 47. Prime factorization of 48504 in exponential form is:

48504 = 2³ × 3¹ × 43¹ × 47¹

Step-2: Prime Factorization of 48519

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

48519 = 3⁴ × 599¹

Step-3: Factors of 48504

List of positive integer factors of 48504 that divides 48504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 47, 86, 94, 129, 141, 172, 188, 258, 282, 344, 376, 516, 564, 1032, 1128, 2021, 4042, 6063, 8084, 12126, 16168, 24252

Step-4: Factors of 48519

List of positive integer factors of 48519 that divides 48504 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48504 and 48519. The biggest common factor number is the GCF number.
So the greatest common factor 48504 and 48519 is 3.

Also check out the Least Common Multiple of 48504 and 48519