What is the Greatest Common Factor of 72519 and 72539?

Greatest common factor (GCF) of 72519 and 72539 is 1.

GCF(72519,72539) = 1

We will now calculate the prime factors of 72519 and 72539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72519 and 72539.

How to find the GCF of 72519 and 72539?

We will first find the prime factorization of 72519 and 72539. After we will calculate the factors of 72519 and 72539 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 72539

Prime factors of 72539 are 17, 251. Prime factorization of 72539 in exponential form is:

72539 = 17² × 251¹

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 72539

List of positive integer factors of 72539 that divides 72519 without a remainder.

1, 17, 251, 289, 4267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72519 and 72539. The biggest common factor number is the GCF number.
So the greatest common factor 72519 and 72539 is 1.

Also check out the Least Common Multiple of 72519 and 72539