What is the Greatest Common Factor of 26312 and 26325?

Greatest common factor (GCF) of 26312 and 26325 is 13.

GCF(26312,26325) = 13

We will now calculate the prime factors of 26312 and 26325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26312 and 26325.

How to find the GCF of 26312 and 26325?

We will first find the prime factorization of 26312 and 26325. After we will calculate the factors of 26312 and 26325 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26325

Prime factors of 26325 are 3, 5, 13. Prime factorization of 26325 in exponential form is:

26325 = 3⁴ × 5² × 13¹

Step-3: Factors of 26312

List of positive integer factors of 26312 that divides 26312 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

Step-4: Factors of 26325

List of positive integer factors of 26325 that divides 26312 without a remainder.

1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 81, 117, 135, 195, 225, 325, 351, 405, 585, 675, 975, 1053, 1755, 2025, 2925, 5265, 8775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26312 and 26325. The biggest common factor number is the GCF number.
So the greatest common factor 26312 and 26325 is 13.

Also check out the Least Common Multiple of 26312 and 26325