What is the Greatest Common Factor of 45519 and 45537?

Greatest common factor (GCF) of 45519 and 45537 is 3.

GCF(45519,45537) = 3

We will now calculate the prime factors of 45519 and 45537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45519 and 45537.

How to find the GCF of 45519 and 45537?

We will first find the prime factorization of 45519 and 45537. After we will calculate the factors of 45519 and 45537 and find the biggest common factor number .

Step-1: Prime Factorization of 45519

Prime factors of 45519 are 3, 15173. Prime factorization of 45519 in exponential form is:

45519 = 3¹ × 15173¹

Step-2: Prime Factorization of 45537

Prime factors of 45537 are 3, 43, 353. Prime factorization of 45537 in exponential form is:

45537 = 3¹ × 43¹ × 353¹

Step-3: Factors of 45519

List of positive integer factors of 45519 that divides 45519 without a remainder.

1, 3, 15173

Step-4: Factors of 45537

List of positive integer factors of 45537 that divides 45519 without a remainder.

1, 3, 43, 129, 353, 1059, 15179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45519 and 45537. The biggest common factor number is the GCF number.
So the greatest common factor 45519 and 45537 is 3.

Also check out the Least Common Multiple of 45519 and 45537