What is the Greatest Common Factor of 26310 and 26325?

Greatest common factor (GCF) of 26310 and 26325 is 15.

GCF(26310,26325) = 15

We will now calculate the prime factors of 26310 and 26325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26310 and 26325.

How to find the GCF of 26310 and 26325?

We will first find the prime factorization of 26310 and 26325. After we will calculate the factors of 26310 and 26325 and find the biggest common factor number .

Step-1: Prime Factorization of 26310

Prime factors of 26310 are 2, 3, 5, 877. Prime factorization of 26310 in exponential form is:

26310 = 2¹ × 3¹ × 5¹ × 877¹

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 26310

List of positive integer factors of 26310 that divides 26310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 877, 1754, 2631, 4385, 5262, 8770, 13155

Step-4: Factors of 26325

List of positive integer factors of 26325 that divides 26310 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 26310 and 26325. The biggest common factor number is the GCF number.
So the greatest common factor 26310 and 26325 is 15.

Also check out the Least Common Multiple of 26310 and 26325