What is the Greatest Common Factor of 13140 and 13147?

Greatest common factor (GCF) of 13140 and 13147 is 1.

GCF(13140,13147) = 1

We will now calculate the prime factors of 13140 and 13147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13140 and 13147.

How to find the GCF of 13140 and 13147?

We will first find the prime factorization of 13140 and 13147. After we will calculate the factors of 13140 and 13147 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 13147

Prime factors of 13147 are 13147. Prime factorization of 13147 in exponential form is:

13147 = 13147¹

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 13147

List of positive integer factors of 13147 that divides 13140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13140 and 13147. The biggest common factor number is the GCF number.
So the greatest common factor 13140 and 13147 is 1.

Also check out the Least Common Multiple of 13140 and 13147