What is the Greatest Common Factor of 13182 and 13195?

Greatest common factor (GCF) of 13182 and 13195 is 13.

GCF(13182,13195) = 13

We will now calculate the prime factors of 13182 and 13195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13182 and 13195.

How to find the GCF of 13182 and 13195?

We will first find the prime factorization of 13182 and 13195. After we will calculate the factors of 13182 and 13195 and find the biggest common factor number .

Step-1: Prime Factorization of 13182

Prime factors of 13182 are 2, 3, 13. Prime factorization of 13182 in exponential form is:

13182 = 2¹ × 3¹ × 13³

Step-2: Prime Factorization of 13195

Prime factors of 13195 are 5, 7, 13, 29. Prime factorization of 13195 in exponential form is:

13195 = 5¹ × 7¹ × 13¹ × 29¹

Step-3: Factors of 13182

List of positive integer factors of 13182 that divides 13182 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014, 2197, 4394, 6591

Step-4: Factors of 13195

List of positive integer factors of 13195 that divides 13182 without a remainder.

1, 5, 7, 13, 29, 35, 65, 91, 145, 203, 377, 455, 1015, 1885, 2639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13182 and 13195. The biggest common factor number is the GCF number.
So the greatest common factor 13182 and 13195 is 13.

Also check out the Least Common Multiple of 13182 and 13195