What is the Greatest Common Factor of 27288 and 27296?

Greatest common factor (GCF) of 27288 and 27296 is 8.

GCF(27288,27296) = 8

We will now calculate the prime factors of 27288 and 27296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27288 and 27296.

How to find the GCF of 27288 and 27296?

We will first find the prime factorization of 27288 and 27296. After we will calculate the factors of 27288 and 27296 and find the biggest common factor number .

Step-1: Prime Factorization of 27288

Prime factors of 27288 are 2, 3, 379. Prime factorization of 27288 in exponential form is:

27288 = 2³ × 3² × 379¹

Step-2: Prime Factorization of 27296

Prime factors of 27296 are 2, 853. Prime factorization of 27296 in exponential form is:

27296 = 2⁵ × 853¹

Step-3: Factors of 27288

List of positive integer factors of 27288 that divides 27288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 379, 758, 1137, 1516, 2274, 3032, 3411, 4548, 6822, 9096, 13644

Step-4: Factors of 27296

List of positive integer factors of 27296 that divides 27288 without a remainder.

1, 2, 4, 8, 16, 32, 853, 1706, 3412, 6824, 13648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27288 and 27296. The biggest common factor number is the GCF number.
So the greatest common factor 27288 and 27296 is 8.

Also check out the Least Common Multiple of 27288 and 27296