What is the Greatest Common Factor of 13175 and 13190?

Greatest common factor (GCF) of 13175 and 13190 is 5.

GCF(13175,13190) = 5

We will now calculate the prime factors of 13175 and 13190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13175 and 13190.

How to find the GCF of 13175 and 13190?

We will first find the prime factorization of 13175 and 13190. After we will calculate the factors of 13175 and 13190 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 13190

Prime factors of 13190 are 2, 5, 1319. Prime factorization of 13190 in exponential form is:

13190 = 2¹ × 5¹ × 1319¹

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 13190

List of positive integer factors of 13190 that divides 13175 without a remainder.

1, 2, 5, 10, 1319, 2638, 6595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13175 and 13190. The biggest common factor number is the GCF number.
So the greatest common factor 13175 and 13190 is 5.

Also check out the Least Common Multiple of 13175 and 13190