What is the Greatest Common Factor of 26009 and 26017?

Greatest common factor (GCF) of 26009 and 26017 is 1.

GCF(26009,26017) = 1

We will now calculate the prime factors of 26009 and 26017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26009 and 26017.

How to find the GCF of 26009 and 26017?

We will first find the prime factorization of 26009 and 26017. After we will calculate the factors of 26009 and 26017 and find the biggest common factor number .

Step-1: Prime Factorization of 26009

Prime factors of 26009 are 31, 839. Prime factorization of 26009 in exponential form is:

26009 = 31¹ × 839¹

Step-2: Prime Factorization of 26017

Prime factors of 26017 are 26017. Prime factorization of 26017 in exponential form is:

26017 = 26017¹

Step-3: Factors of 26009

List of positive integer factors of 26009 that divides 26009 without a remainder.

1, 31, 839

Step-4: Factors of 26017

List of positive integer factors of 26017 that divides 26009 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26009 and 26017. The biggest common factor number is the GCF number.
So the greatest common factor 26009 and 26017 is 1.

Also check out the Least Common Multiple of 26009 and 26017