What is the Greatest Common Factor of 72730 and 72750?

Greatest common factor (GCF) of 72730 and 72750 is 10.

GCF(72730,72750) = 10

We will now calculate the prime factors of 72730 and 72750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72730 and 72750.

How to find the GCF of 72730 and 72750?

We will first find the prime factorization of 72730 and 72750. After we will calculate the factors of 72730 and 72750 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72750

Prime factors of 72750 are 2, 3, 5, 97. Prime factorization of 72750 in exponential form is:

72750 = 2¹ × 3¹ × 5³ × 97¹

Step-3: Factors of 72730

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

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

Step-4: Factors of 72750

List of positive integer factors of 72750 that divides 72730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 97, 125, 150, 194, 250, 291, 375, 485, 582, 750, 970, 1455, 2425, 2910, 4850, 7275, 12125, 14550, 24250, 36375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72730 and 72750. The biggest common factor number is the GCF number.
So the greatest common factor 72730 and 72750 is 10.

Also check out the Least Common Multiple of 72730 and 72750