What is the Greatest Common Factor of 72489 and 72495?

Greatest common factor (GCF) of 72489 and 72495 is 3.

GCF(72489,72495) = 3

We will now calculate the prime factors of 72489 and 72495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72489 and 72495.

How to find the GCF of 72489 and 72495?

We will first find the prime factorization of 72489 and 72495. After we will calculate the factors of 72489 and 72495 and find the biggest common factor number .

Step-1: Prime Factorization of 72489

Prime factors of 72489 are 3, 73, 331. Prime factorization of 72489 in exponential form is:

72489 = 3¹ × 73¹ × 331¹

Step-2: Prime Factorization of 72495

Prime factors of 72495 are 3, 5, 179. Prime factorization of 72495 in exponential form is:

72495 = 3⁴ × 5¹ × 179¹

Step-3: Factors of 72489

List of positive integer factors of 72489 that divides 72489 without a remainder.

1, 3, 73, 219, 331, 993, 24163

Step-4: Factors of 72495

List of positive integer factors of 72495 that divides 72489 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 179, 405, 537, 895, 1611, 2685, 4833, 8055, 14499, 24165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72489 and 72495. The biggest common factor number is the GCF number.
So the greatest common factor 72489 and 72495 is 3.

Also check out the Least Common Multiple of 72489 and 72495