What is the Greatest Common Factor of 60504 and 60519?

Greatest common factor (GCF) of 60504 and 60519 is 3.

GCF(60504,60519) = 3

We will now calculate the prime factors of 60504 and 60519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60504 and 60519.

How to find the GCF of 60504 and 60519?

We will first find the prime factorization of 60504 and 60519. After we will calculate the factors of 60504 and 60519 and find the biggest common factor number .

Step-1: Prime Factorization of 60504

Prime factors of 60504 are 2, 3, 2521. Prime factorization of 60504 in exponential form is:

60504 = 2³ × 3¹ × 2521¹

Step-2: Prime Factorization of 60519

Prime factors of 60519 are 3, 20173. Prime factorization of 60519 in exponential form is:

60519 = 3¹ × 20173¹

Step-3: Factors of 60504

List of positive integer factors of 60504 that divides 60504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2521, 5042, 7563, 10084, 15126, 20168, 30252

Step-4: Factors of 60519

List of positive integer factors of 60519 that divides 60504 without a remainder.

1, 3, 20173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60504 and 60519. The biggest common factor number is the GCF number.
So the greatest common factor 60504 and 60519 is 3.

Also check out the Least Common Multiple of 60504 and 60519