What is the Greatest Common Factor of 27428 and 27432?

Greatest common factor (GCF) of 27428 and 27432 is 4.

GCF(27428,27432) = 4

We will now calculate the prime factors of 27428 and 27432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27428 and 27432.

How to find the GCF of 27428 and 27432?

We will first find the prime factorization of 27428 and 27432. After we will calculate the factors of 27428 and 27432 and find the biggest common factor number .

Step-1: Prime Factorization of 27428

Prime factors of 27428 are 2, 6857. Prime factorization of 27428 in exponential form is:

27428 = 2² × 6857¹

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 27428

List of positive integer factors of 27428 that divides 27428 without a remainder.

1, 2, 4, 6857, 13714

Step-4: Factors of 27432

List of positive integer factors of 27432 that divides 27428 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 27428 and 27432. The biggest common factor number is the GCF number.
So the greatest common factor 27428 and 27432 is 4.

Also check out the Least Common Multiple of 27428 and 27432