What is the Greatest Common Factor of 15314 and 15325?

Greatest common factor (GCF) of 15314 and 15325 is 1.

GCF(15314,15325) = 1

We will now calculate the prime factors of 15314 and 15325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15314 and 15325.

How to find the GCF of 15314 and 15325?

We will first find the prime factorization of 15314 and 15325. After we will calculate the factors of 15314 and 15325 and find the biggest common factor number .

Step-1: Prime Factorization of 15314

Prime factors of 15314 are 2, 13, 19, 31. Prime factorization of 15314 in exponential form is:

15314 = 2¹ × 13¹ × 19¹ × 31¹

Step-2: Prime Factorization of 15325

Prime factors of 15325 are 5, 613. Prime factorization of 15325 in exponential form is:

15325 = 5² × 613¹

Step-3: Factors of 15314

List of positive integer factors of 15314 that divides 15314 without a remainder.

1, 2, 13, 19, 26, 31, 38, 62, 247, 403, 494, 589, 806, 1178, 7657

Step-4: Factors of 15325

List of positive integer factors of 15325 that divides 15314 without a remainder.

1, 5, 25, 613, 3065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15314 and 15325. The biggest common factor number is the GCF number.
So the greatest common factor 15314 and 15325 is 1.

Also check out the Least Common Multiple of 15314 and 15325