What is the Greatest Common Factor of 72768 and 72780?

Greatest common factor (GCF) of 72768 and 72780 is 12.

GCF(72768,72780) = 12

We will now calculate the prime factors of 72768 and 72780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72768 and 72780.

How to find the GCF of 72768 and 72780?

We will first find the prime factorization of 72768 and 72780. After we will calculate the factors of 72768 and 72780 and find the biggest common factor number .

Step-1: Prime Factorization of 72768

Prime factors of 72768 are 2, 3, 379. Prime factorization of 72768 in exponential form is:

72768 = 2⁶ × 3¹ × 379¹

Step-2: Prime Factorization of 72780

Prime factors of 72780 are 2, 3, 5, 1213. Prime factorization of 72780 in exponential form is:

72780 = 2² × 3¹ × 5¹ × 1213¹

Step-3: Factors of 72768

List of positive integer factors of 72768 that divides 72768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 379, 758, 1137, 1516, 2274, 3032, 4548, 6064, 9096, 12128, 18192, 24256, 36384

Step-4: Factors of 72780

List of positive integer factors of 72780 that divides 72768 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1213, 2426, 3639, 4852, 6065, 7278, 12130, 14556, 18195, 24260, 36390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72768 and 72780. The biggest common factor number is the GCF number.
So the greatest common factor 72768 and 72780 is 12.

Also check out the Least Common Multiple of 72768 and 72780