What is the Greatest Common Factor of 72475 and 72495?

Greatest common factor (GCF) of 72475 and 72495 is 5.

GCF(72475,72495) = 5

We will now calculate the prime factors of 72475 and 72495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72475 and 72495.

How to find the GCF of 72475 and 72495?

We will first find the prime factorization of 72475 and 72495. After we will calculate the factors of 72475 and 72495 and find the biggest common factor number .

Step-1: Prime Factorization of 72475

Prime factors of 72475 are 5, 13, 223. Prime factorization of 72475 in exponential form is:

72475 = 5² × 13¹ × 223¹

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 72475

List of positive integer factors of 72475 that divides 72475 without a remainder.

1, 5, 13, 25, 65, 223, 325, 1115, 2899, 5575, 14495

Step-4: Factors of 72495

List of positive integer factors of 72495 that divides 72475 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 72475 and 72495. The biggest common factor number is the GCF number.
So the greatest common factor 72475 and 72495 is 5.

Also check out the Least Common Multiple of 72475 and 72495