What is the Greatest Common Factor of 72519 and 72537?

Greatest common factor (GCF) of 72519 and 72537 is 3.

GCF(72519,72537) = 3

We will now calculate the prime factors of 72519 and 72537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72519 and 72537.

How to find the GCF of 72519 and 72537?

We will first find the prime factorization of 72519 and 72537. After we will calculate the factors of 72519 and 72537 and find the biggest common factor number .

Step-1: Prime Factorization of 72519

Prime factors of 72519 are 3, 23, 1051. Prime factorization of 72519 in exponential form is:

72519 = 3¹ × 23¹ × 1051¹

Step-2: Prime Factorization of 72537

Prime factors of 72537 are 3, 24179. Prime factorization of 72537 in exponential form is:

72537 = 3¹ × 24179¹

Step-3: Factors of 72519

List of positive integer factors of 72519 that divides 72519 without a remainder.

1, 3, 23, 69, 1051, 3153, 24173

Step-4: Factors of 72537

List of positive integer factors of 72537 that divides 72519 without a remainder.

1, 3, 24179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72519 and 72537. The biggest common factor number is the GCF number.
So the greatest common factor 72519 and 72537 is 3.

Also check out the Least Common Multiple of 72519 and 72537