What is the Greatest Common Factor of 27008 and 27024?

Greatest common factor (GCF) of 27008 and 27024 is 16.

GCF(27008,27024) = 16

We will now calculate the prime factors of 27008 and 27024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27008 and 27024.

How to find the GCF of 27008 and 27024?

We will first find the prime factorization of 27008 and 27024. After we will calculate the factors of 27008 and 27024 and find the biggest common factor number .

Step-1: Prime Factorization of 27008

Prime factors of 27008 are 2, 211. Prime factorization of 27008 in exponential form is:

27008 = 2⁷ × 211¹

Step-2: 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-3: Factors of 27008

List of positive integer factors of 27008 that divides 27008 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 211, 422, 844, 1688, 3376, 6752, 13504

Step-4: Factors of 27024

List of positive integer factors of 27024 that divides 27008 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27008 and 27024. The biggest common factor number is the GCF number.
So the greatest common factor 27008 and 27024 is 16.

Also check out the Least Common Multiple of 27008 and 27024