What is the Greatest Common Factor of 13325 and 13345?

Greatest common factor (GCF) of 13325 and 13345 is 5.

GCF(13325,13345) = 5

We will now calculate the prime factors of 13325 and 13345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13325 and 13345.

How to find the GCF of 13325 and 13345?

We will first find the prime factorization of 13325 and 13345. After we will calculate the factors of 13325 and 13345 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 13345

Prime factors of 13345 are 5, 17, 157. Prime factorization of 13345 in exponential form is:

13345 = 5¹ × 17¹ × 157¹

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 13345

List of positive integer factors of 13345 that divides 13325 without a remainder.

1, 5, 17, 85, 157, 785, 2669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13325 and 13345. The biggest common factor number is the GCF number.
So the greatest common factor 13325 and 13345 is 5.

Also check out the Least Common Multiple of 13325 and 13345