What is the Greatest Common Factor of 13325 and 13331?

Greatest common factor (GCF) of 13325 and 13331 is 1.

GCF(13325,13331) = 1

We will now calculate the prime factors of 13325 and 13331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13325 and 13331.

How to find the GCF of 13325 and 13331?

We will first find the prime factorization of 13325 and 13331. After we will calculate the factors of 13325 and 13331 and find the biggest common factor number .

Step-1: Prime Factorization of 13325

Prime factors of 13325 are 5, 13, 41. Prime factorization of 13325 in exponential form is:

13325 = 5² × 13¹ × 41¹

Step-2: Prime Factorization of 13331

Prime factors of 13331 are 13331. Prime factorization of 13331 in exponential form is:

13331 = 13331¹

Step-3: Factors of 13325

List of positive integer factors of 13325 that divides 13325 without a remainder.

1, 5, 13, 25, 41, 65, 205, 325, 533, 1025, 2665

Step-4: Factors of 13331

List of positive integer factors of 13331 that divides 13325 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13325 and 13331. The biggest common factor number is the GCF number.
So the greatest common factor 13325 and 13331 is 1.

Also check out the Least Common Multiple of 13325 and 13331