What is the Greatest Common Factor of 72471 and 72491?

Greatest common factor (GCF) of 72471 and 72491 is 1.

GCF(72471,72491) = 1

We will now calculate the prime factors of 72471 and 72491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72471 and 72491.

How to find the GCF of 72471 and 72491?

We will first find the prime factorization of 72471 and 72491. After we will calculate the factors of 72471 and 72491 and find the biggest common factor number .

Step-1: Prime Factorization of 72471

Prime factors of 72471 are 3, 7, 17, 29. Prime factorization of 72471 in exponential form is:

72471 = 3¹ × 7² × 17¹ × 29¹

Step-2: Prime Factorization of 72491

Prime factors of 72491 are 71, 1021. Prime factorization of 72491 in exponential form is:

72491 = 71¹ × 1021¹

Step-3: Factors of 72471

List of positive integer factors of 72471 that divides 72471 without a remainder.

1, 3, 7, 17, 21, 29, 49, 51, 87, 119, 147, 203, 357, 493, 609, 833, 1421, 1479, 2499, 3451, 4263, 10353, 24157

Step-4: Factors of 72491

List of positive integer factors of 72491 that divides 72471 without a remainder.

1, 71, 1021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72471 and 72491. The biggest common factor number is the GCF number.
So the greatest common factor 72471 and 72491 is 1.

Also check out the Least Common Multiple of 72471 and 72491