What is the Greatest Common Factor of 13140 and 13145?

Greatest common factor (GCF) of 13140 and 13145 is 5.

GCF(13140,13145) = 5

We will now calculate the prime factors of 13140 and 13145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13140 and 13145.

How to find the GCF of 13140 and 13145?

We will first find the prime factorization of 13140 and 13145. After we will calculate the factors of 13140 and 13145 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 13145

Prime factors of 13145 are 5, 11, 239. Prime factorization of 13145 in exponential form is:

13145 = 5¹ × 11¹ × 239¹

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 13145

List of positive integer factors of 13145 that divides 13140 without a remainder.

1, 5, 11, 55, 239, 1195, 2629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13140 and 13145. The biggest common factor number is the GCF number.
So the greatest common factor 13140 and 13145 is 5.

Also check out the Least Common Multiple of 13140 and 13145