What is the Greatest Common Factor of 13170 and 13175?

Greatest common factor (GCF) of 13170 and 13175 is 5.

GCF(13170,13175) = 5

We will now calculate the prime factors of 13170 and 13175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13170 and 13175.

How to find the GCF of 13170 and 13175?

We will first find the prime factorization of 13170 and 13175. After we will calculate the factors of 13170 and 13175 and find the biggest common factor number .

Step-1: Prime Factorization of 13170

Prime factors of 13170 are 2, 3, 5, 439. Prime factorization of 13170 in exponential form is:

13170 = 2¹ × 3¹ × 5¹ × 439¹

Step-2: 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-3: Factors of 13170

List of positive integer factors of 13170 that divides 13170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 439, 878, 1317, 2195, 2634, 4390, 6585

Step-4: Factors of 13175

List of positive integer factors of 13175 that divides 13170 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13170 and 13175. The biggest common factor number is the GCF number.
So the greatest common factor 13170 and 13175 is 5.

Also check out the Least Common Multiple of 13170 and 13175