What is the Greatest Common Factor of 26299 and 26317?

Greatest common factor (GCF) of 26299 and 26317 is 1.

GCF(26299,26317) = 1

We will now calculate the prime factors of 26299 and 26317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26299 and 26317.

How to find the GCF of 26299 and 26317?

We will first find the prime factorization of 26299 and 26317. After we will calculate the factors of 26299 and 26317 and find the biggest common factor number .

Step-1: Prime Factorization of 26299

Prime factors of 26299 are 7, 13, 17. Prime factorization of 26299 in exponential form is:

26299 = 7¹ × 13¹ × 17²

Step-2: Prime Factorization of 26317

Prime factors of 26317 are 26317. Prime factorization of 26317 in exponential form is:

26317 = 26317¹

Step-3: Factors of 26299

List of positive integer factors of 26299 that divides 26299 without a remainder.

1, 7, 13, 17, 91, 119, 221, 289, 1547, 2023, 3757

Step-4: Factors of 26317

List of positive integer factors of 26317 that divides 26299 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26299 and 26317. The biggest common factor number is the GCF number.
So the greatest common factor 26299 and 26317 is 1.

Also check out the Least Common Multiple of 26299 and 26317