What is the Greatest Common Factor of 60519 and 60537?

Greatest common factor (GCF) of 60519 and 60537 is 3.

GCF(60519,60537) = 3

We will now calculate the prime factors of 60519 and 60537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60519 and 60537.

How to find the GCF of 60519 and 60537?

We will first find the prime factorization of 60519 and 60537. After we will calculate the factors of 60519 and 60537 and find the biggest common factor number .

Step-1: Prime Factorization of 60519

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

60519 = 3¹ × 20173¹

Step-2: Prime Factorization of 60537

Prime factors of 60537 are 3, 17, 1187. Prime factorization of 60537 in exponential form is:

60537 = 3¹ × 17¹ × 1187¹

Step-3: Factors of 60519

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

1, 3, 20173

Step-4: Factors of 60537

List of positive integer factors of 60537 that divides 60519 without a remainder.

1, 3, 17, 51, 1187, 3561, 20179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60519 and 60537. The biggest common factor number is the GCF number.
So the greatest common factor 60519 and 60537 is 3.

Also check out the Least Common Multiple of 60519 and 60537