What is the Greatest Common Factor of 72756 and 72768?

Greatest common factor (GCF) of 72756 and 72768 is 12.

GCF(72756,72768) = 12

We will now calculate the prime factors of 72756 and 72768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72756 and 72768.

How to find the GCF of 72756 and 72768?

We will first find the prime factorization of 72756 and 72768. After we will calculate the factors of 72756 and 72768 and find the biggest common factor number .

Step-1: Prime Factorization of 72756

Prime factors of 72756 are 2, 3, 43, 47. Prime factorization of 72756 in exponential form is:

72756 = 2² × 3² × 43¹ × 47¹

Step-2: 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-3: Factors of 72756

List of positive integer factors of 72756 that divides 72756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 47, 86, 94, 129, 141, 172, 188, 258, 282, 387, 423, 516, 564, 774, 846, 1548, 1692, 2021, 4042, 6063, 8084, 12126, 18189, 24252, 36378

Step-4: Factors of 72768

List of positive integer factors of 72768 that divides 72756 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72756 and 72768. The biggest common factor number is the GCF number.
So the greatest common factor 72756 and 72768 is 12.

Also check out the Least Common Multiple of 72756 and 72768