What is the Greatest Common Factor of 13140 and 13158?

Greatest common factor (GCF) of 13140 and 13158 is 18.

GCF(13140,13158) = 18

We will now calculate the prime factors of 13140 and 13158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13140 and 13158.

How to find the GCF of 13140 and 13158?

We will first find the prime factorization of 13140 and 13158. After we will calculate the factors of 13140 and 13158 and find the biggest common factor number .

Step-1: Prime Factorization of 13140

Prime factors of 13140 are 2, 3, 5, 73. Prime factorization of 13140 in exponential form is:

13140 = 2² × 3² × 5¹ × 73¹

Step-2: Prime Factorization of 13158

Prime factors of 13158 are 2, 3, 17, 43. Prime factorization of 13158 in exponential form is:

13158 = 2¹ × 3² × 17¹ × 43¹

Step-3: Factors of 13140

List of positive integer factors of 13140 that divides 13140 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 73, 90, 146, 180, 219, 292, 365, 438, 657, 730, 876, 1095, 1314, 1460, 2190, 2628, 3285, 4380, 6570

Step-4: Factors of 13158

List of positive integer factors of 13158 that divides 13140 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 43, 51, 86, 102, 129, 153, 258, 306, 387, 731, 774, 1462, 2193, 4386, 6579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13140 and 13158. The biggest common factor number is the GCF number.
So the greatest common factor 13140 and 13158 is 18.

Also check out the Least Common Multiple of 13140 and 13158