What is the Greatest Common Factor of 72725 and 72730?

Greatest common factor (GCF) of 72725 and 72730 is 5.

GCF(72725,72730) = 5

We will now calculate the prime factors of 72725 and 72730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72725 and 72730.

How to find the GCF of 72725 and 72730?

We will first find the prime factorization of 72725 and 72730. After we will calculate the factors of 72725 and 72730 and find the biggest common factor number .

Step-1: Prime Factorization of 72725

Prime factors of 72725 are 5, 2909. Prime factorization of 72725 in exponential form is:

72725 = 5² × 2909¹

Step-2: Prime Factorization of 72730

Prime factors of 72730 are 2, 5, 7, 1039. Prime factorization of 72730 in exponential form is:

72730 = 2¹ × 5¹ × 7¹ × 1039¹

Step-3: Factors of 72725

List of positive integer factors of 72725 that divides 72725 without a remainder.

1, 5, 25, 2909, 14545

Step-4: Factors of 72730

List of positive integer factors of 72730 that divides 72725 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1039, 2078, 5195, 7273, 10390, 14546, 36365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72725 and 72730. The biggest common factor number is the GCF number.
So the greatest common factor 72725 and 72730 is 5.

Also check out the Least Common Multiple of 72725 and 72730