What is the Greatest Common Factor of 27432 and 27444?

Greatest common factor (GCF) of 27432 and 27444 is 12.

GCF(27432,27444) = 12

We will now calculate the prime factors of 27432 and 27444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27432 and 27444.

How to find the GCF of 27432 and 27444?

We will first find the prime factorization of 27432 and 27444. After we will calculate the factors of 27432 and 27444 and find the biggest common factor number .

Step-1: Prime Factorization of 27432

Prime factors of 27432 are 2, 3, 127. Prime factorization of 27432 in exponential form is:

27432 = 2³ × 3³ × 127¹

Step-2: Prime Factorization of 27444

Prime factors of 27444 are 2, 3, 2287. Prime factorization of 27444 in exponential form is:

27444 = 2² × 3¹ × 2287¹

Step-3: Factors of 27432

List of positive integer factors of 27432 that divides 27432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 127, 216, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 3429, 4572, 6858, 9144, 13716

Step-4: Factors of 27444

List of positive integer factors of 27444 that divides 27432 without a remainder.

1, 2, 3, 4, 6, 12, 2287, 4574, 6861, 9148, 13722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27432 and 27444. The biggest common factor number is the GCF number.
So the greatest common factor 27432 and 27444 is 12.

Also check out the Least Common Multiple of 27432 and 27444