What is the Greatest Common Factor of 72471 and 72483?

Greatest common factor (GCF) of 72471 and 72483 is 3.

GCF(72471,72483) = 3

We will now calculate the prime factors of 72471 and 72483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72471 and 72483.

How to find the GCF of 72471 and 72483?

We will first find the prime factorization of 72471 and 72483. After we will calculate the factors of 72471 and 72483 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 72483

Prime factors of 72483 are 3, 37, 653. Prime factorization of 72483 in exponential form is:

72483 = 3¹ × 37¹ × 653¹

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 72483

List of positive integer factors of 72483 that divides 72471 without a remainder.

1, 3, 37, 111, 653, 1959, 24161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72471 and 72483. The biggest common factor number is the GCF number.
So the greatest common factor 72471 and 72483 is 3.

Also check out the Least Common Multiple of 72471 and 72483