What is the Greatest Common Factor of 27024 and 27039?

Greatest common factor (GCF) of 27024 and 27039 is 3.

GCF(27024,27039) = 3

We will now calculate the prime factors of 27024 and 27039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27024 and 27039.

How to find the GCF of 27024 and 27039?

We will first find the prime factorization of 27024 and 27039. After we will calculate the factors of 27024 and 27039 and find the biggest common factor number .

Step-1: Prime Factorization of 27024

Prime factors of 27024 are 2, 3, 563. Prime factorization of 27024 in exponential form is:

27024 = 2⁴ × 3¹ × 563¹

Step-2: Prime Factorization of 27039

Prime factors of 27039 are 3, 9013. Prime factorization of 27039 in exponential form is:

27039 = 3¹ × 9013¹

Step-3: Factors of 27024

List of positive integer factors of 27024 that divides 27024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 563, 1126, 1689, 2252, 3378, 4504, 6756, 9008, 13512

Step-4: Factors of 27039

List of positive integer factors of 27039 that divides 27024 without a remainder.

1, 3, 9013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27024 and 27039. The biggest common factor number is the GCF number.
So the greatest common factor 27024 and 27039 is 3.

Also check out the Least Common Multiple of 27024 and 27039