What is the Greatest Common Factor of 72730 and 72744?

Greatest common factor (GCF) of 72730 and 72744 is 14.

GCF(72730,72744) = 14

We will now calculate the prime factors of 72730 and 72744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72730 and 72744.

How to find the GCF of 72730 and 72744?

We will first find the prime factorization of 72730 and 72744. After we will calculate the factors of 72730 and 72744 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 72744

Prime factors of 72744 are 2, 3, 7, 433. Prime factorization of 72744 in exponential form is:

72744 = 2³ × 3¹ × 7¹ × 433¹

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 72744

List of positive integer factors of 72744 that divides 72730 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 433, 866, 1299, 1732, 2598, 3031, 3464, 5196, 6062, 9093, 10392, 12124, 18186, 24248, 36372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72730 and 72744. The biggest common factor number is the GCF number.
So the greatest common factor 72730 and 72744 is 14.

Also check out the Least Common Multiple of 72730 and 72744