What is the Greatest Common Factor of 13175 and 13185?

Greatest common factor (GCF) of 13175 and 13185 is 5.

GCF(13175,13185) = 5

We will now calculate the prime factors of 13175 and 13185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13175 and 13185.

How to find the GCF of 13175 and 13185?

We will first find the prime factorization of 13175 and 13185. After we will calculate the factors of 13175 and 13185 and find the biggest common factor number .

Step-1: Prime Factorization of 13175

Prime factors of 13175 are 5, 17, 31. Prime factorization of 13175 in exponential form is:

13175 = 5² × 17¹ × 31¹

Step-2: Prime Factorization of 13185

Prime factors of 13185 are 3, 5, 293. Prime factorization of 13185 in exponential form is:

13185 = 3² × 5¹ × 293¹

Step-3: Factors of 13175

List of positive integer factors of 13175 that divides 13175 without a remainder.

1, 5, 17, 25, 31, 85, 155, 425, 527, 775, 2635

Step-4: Factors of 13185

List of positive integer factors of 13185 that divides 13175 without a remainder.

1, 3, 5, 9, 15, 45, 293, 879, 1465, 2637, 4395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13175 and 13185. The biggest common factor number is the GCF number.
So the greatest common factor 13175 and 13185 is 5.

Also check out the Least Common Multiple of 13175 and 13185