What is the Greatest Common Factor of 26315 and 26329?

Greatest common factor (GCF) of 26315 and 26329 is 1.

GCF(26315,26329) = 1

We will now calculate the prime factors of 26315 and 26329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26315 and 26329.

How to find the GCF of 26315 and 26329?

We will first find the prime factorization of 26315 and 26329. After we will calculate the factors of 26315 and 26329 and find the biggest common factor number .

Step-1: Prime Factorization of 26315

Prime factors of 26315 are 5, 19, 277. Prime factorization of 26315 in exponential form is:

26315 = 5¹ × 19¹ × 277¹

Step-2: Prime Factorization of 26329

Prime factors of 26329 are 113, 233. Prime factorization of 26329 in exponential form is:

26329 = 113¹ × 233¹

Step-3: Factors of 26315

List of positive integer factors of 26315 that divides 26315 without a remainder.

1, 5, 19, 95, 277, 1385, 5263

Step-4: Factors of 26329

List of positive integer factors of 26329 that divides 26315 without a remainder.

1, 113, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26315 and 26329. The biggest common factor number is the GCF number.
So the greatest common factor 26315 and 26329 is 1.

Also check out the Least Common Multiple of 26315 and 26329