What is the Greatest Common Factor of 72475 and 72493?

Greatest common factor (GCF) of 72475 and 72493 is 1.

GCF(72475,72493) = 1

We will now calculate the prime factors of 72475 and 72493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72475 and 72493.

How to find the GCF of 72475 and 72493?

We will first find the prime factorization of 72475 and 72493. After we will calculate the factors of 72475 and 72493 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 72493

Prime factors of 72493 are 72493. Prime factorization of 72493 in exponential form is:

72493 = 72493¹

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 72493

List of positive integer factors of 72493 that divides 72475 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72475 and 72493. The biggest common factor number is the GCF number.
So the greatest common factor 72475 and 72493 is 1.

Also check out the Least Common Multiple of 72475 and 72493