What is the Greatest Common Factor of 72714 and 72730?

Greatest common factor (GCF) of 72714 and 72730 is 2.

GCF(72714,72730) = 2

We will now calculate the prime factors of 72714 and 72730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72714 and 72730.

How to find the GCF of 72714 and 72730?

We will first find the prime factorization of 72714 and 72730. After we will calculate the factors of 72714 and 72730 and find the biggest common factor number .

Step-1: Prime Factorization of 72714

Prime factors of 72714 are 2, 3, 12119. Prime factorization of 72714 in exponential form is:

72714 = 2¹ × 3¹ × 12119¹

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 72714

List of positive integer factors of 72714 that divides 72714 without a remainder.

1, 2, 3, 6, 12119, 24238, 36357

Step-4: Factors of 72730

List of positive integer factors of 72730 that divides 72714 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 72714 and 72730. The biggest common factor number is the GCF number.
So the greatest common factor 72714 and 72730 is 2.

Also check out the Least Common Multiple of 72714 and 72730