What is the Greatest Common Factor of 13325 and 13343?

Greatest common factor (GCF) of 13325 and 13343 is 1.

GCF(13325,13343) = 1

We will now calculate the prime factors of 13325 and 13343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13325 and 13343.

How to find the GCF of 13325 and 13343?

We will first find the prime factorization of 13325 and 13343. After we will calculate the factors of 13325 and 13343 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 13343

Prime factors of 13343 are 11, 1213. Prime factorization of 13343 in exponential form is:

13343 = 11¹ × 1213¹

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 13343

List of positive integer factors of 13343 that divides 13325 without a remainder.

1, 11, 1213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13325 and 13343. The biggest common factor number is the GCF number.
So the greatest common factor 13325 and 13343 is 1.

Also check out the Least Common Multiple of 13325 and 13343