What is the Greatest Common Factor of 26299 and 26312?

Greatest common factor (GCF) of 26299 and 26312 is 13.

GCF(26299,26312) = 13

We will now calculate the prime factors of 26299 and 26312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26299 and 26312.

How to find the GCF of 26299 and 26312?

We will first find the prime factorization of 26299 and 26312. After we will calculate the factors of 26299 and 26312 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 26312

Prime factors of 26312 are 2, 11, 13, 23. Prime factorization of 26312 in exponential form is:

26312 = 2³ × 11¹ × 13¹ × 23¹

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 26312

List of positive integer factors of 26312 that divides 26299 without a remainder.

1, 2, 4, 8, 11, 13, 22, 23, 26, 44, 46, 52, 88, 92, 104, 143, 184, 253, 286, 299, 506, 572, 598, 1012, 1144, 1196, 2024, 2392, 3289, 6578, 13156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26299 and 26312. The biggest common factor number is the GCF number.
So the greatest common factor 26299 and 26312 is 13.

Also check out the Least Common Multiple of 26299 and 26312