What is the Greatest Common Factor of 27008 and 27017?

Greatest common factor (GCF) of 27008 and 27017 is 1.

GCF(27008,27017) = 1

We will now calculate the prime factors of 27008 and 27017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27008 and 27017.

How to find the GCF of 27008 and 27017?

We will first find the prime factorization of 27008 and 27017. After we will calculate the factors of 27008 and 27017 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 27017

Prime factors of 27017 are 27017. Prime factorization of 27017 in exponential form is:

27017 = 27017¹

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 27017

List of positive integer factors of 27017 that divides 27008 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27008 and 27017. The biggest common factor number is the GCF number.
So the greatest common factor 27008 and 27017 is 1.

Also check out the Least Common Multiple of 27008 and 27017