What is the Greatest Common Factor of 26314 and 26325?

Greatest common factor (GCF) of 26314 and 26325 is 1.

GCF(26314,26325) = 1

We will now calculate the prime factors of 26314 and 26325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26314 and 26325.

How to find the GCF of 26314 and 26325?

We will first find the prime factorization of 26314 and 26325. After we will calculate the factors of 26314 and 26325 and find the biggest common factor number .

Step-1: Prime Factorization of 26314

Prime factors of 26314 are 2, 59, 223. Prime factorization of 26314 in exponential form is:

26314 = 2¹ × 59¹ × 223¹

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 26314

List of positive integer factors of 26314 that divides 26314 without a remainder.

1, 2, 59, 118, 223, 446, 13157

Step-4: Factors of 26325

List of positive integer factors of 26325 that divides 26314 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 26314 and 26325. The biggest common factor number is the GCF number.
So the greatest common factor 26314 and 26325 is 1.

Also check out the Least Common Multiple of 26314 and 26325