What is the Greatest Common Factor of 26300 and 26315?

Greatest common factor (GCF) of 26300 and 26315 is 5.

GCF(26300,26315) = 5

We will now calculate the prime factors of 26300 and 26315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26300 and 26315.

How to find the GCF of 26300 and 26315?

We will first find the prime factorization of 26300 and 26315. After we will calculate the factors of 26300 and 26315 and find the biggest common factor number .

Step-1: Prime Factorization of 26300

Prime factors of 26300 are 2, 5, 263. Prime factorization of 26300 in exponential form is:

26300 = 2² × 5² × 263¹

Step-2: 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-3: Factors of 26300

List of positive integer factors of 26300 that divides 26300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 263, 526, 1052, 1315, 2630, 5260, 6575, 13150

Step-4: Factors of 26315

List of positive integer factors of 26315 that divides 26300 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26300 and 26315. The biggest common factor number is the GCF number.
So the greatest common factor 26300 and 26315 is 5.

Also check out the Least Common Multiple of 26300 and 26315