What is the Greatest Common Factor of 72312 and 72327?

Greatest common factor (GCF) of 72312 and 72327 is 3.

GCF(72312,72327) = 3

We will now calculate the prime factors of 72312 and 72327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72312 and 72327.

How to find the GCF of 72312 and 72327?

We will first find the prime factorization of 72312 and 72327. After we will calculate the factors of 72312 and 72327 and find the biggest common factor number .

Step-1: Prime Factorization of 72312

Prime factors of 72312 are 2, 3, 23, 131. Prime factorization of 72312 in exponential form is:

72312 = 2³ × 3¹ × 23¹ × 131¹

Step-2: Prime Factorization of 72327

Prime factors of 72327 are 3, 24109. Prime factorization of 72327 in exponential form is:

72327 = 3¹ × 24109¹

Step-3: Factors of 72312

List of positive integer factors of 72312 that divides 72312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 131, 138, 184, 262, 276, 393, 524, 552, 786, 1048, 1572, 3013, 3144, 6026, 9039, 12052, 18078, 24104, 36156

Step-4: Factors of 72327

List of positive integer factors of 72327 that divides 72312 without a remainder.

1, 3, 24109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72312 and 72327. The biggest common factor number is the GCF number.
So the greatest common factor 72312 and 72327 is 3.

Also check out the Least Common Multiple of 72312 and 72327