What is the Greatest Common Factor of 27004 and 27017?

Greatest common factor (GCF) of 27004 and 27017 is 1.

GCF(27004,27017) = 1

We will now calculate the prime factors of 27004 and 27017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27004 and 27017.

How to find the GCF of 27004 and 27017?

We will first find the prime factorization of 27004 and 27017. After we will calculate the factors of 27004 and 27017 and find the biggest common factor number .

Step-1: Prime Factorization of 27004

Prime factors of 27004 are 2, 43, 157. Prime factorization of 27004 in exponential form is:

27004 = 2² × 43¹ × 157¹

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 27004

List of positive integer factors of 27004 that divides 27004 without a remainder.

1, 2, 4, 43, 86, 157, 172, 314, 628, 6751, 13502

Step-4: Factors of 27017

List of positive integer factors of 27017 that divides 27004 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27004 and 27017. The biggest common factor number is the GCF number.
So the greatest common factor 27004 and 27017 is 1.

Also check out the Least Common Multiple of 27004 and 27017