What is the Greatest Common Factor of 27420 and 27432?

Greatest common factor (GCF) of 27420 and 27432 is 12.

GCF(27420,27432) = 12

We will now calculate the prime factors of 27420 and 27432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27420 and 27432.

How to find the GCF of 27420 and 27432?

We will first find the prime factorization of 27420 and 27432. After we will calculate the factors of 27420 and 27432 and find the biggest common factor number .

Step-1: Prime Factorization of 27420

Prime factors of 27420 are 2, 3, 5, 457. Prime factorization of 27420 in exponential form is:

27420 = 2² × 3¹ × 5¹ × 457¹

Step-2: 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-3: Factors of 27420

List of positive integer factors of 27420 that divides 27420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 457, 914, 1371, 1828, 2285, 2742, 4570, 5484, 6855, 9140, 13710

Step-4: Factors of 27432

List of positive integer factors of 27432 that divides 27420 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27420 and 27432. The biggest common factor number is the GCF number.
So the greatest common factor 27420 and 27432 is 12.

Also check out the Least Common Multiple of 27420 and 27432