What is the Greatest Common Factor of 13140 and 13159?

Greatest common factor (GCF) of 13140 and 13159 is 1.

GCF(13140,13159) = 1

We will now calculate the prime factors of 13140 and 13159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13140 and 13159.

How to find the GCF of 13140 and 13159?

We will first find the prime factorization of 13140 and 13159. After we will calculate the factors of 13140 and 13159 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 13159

Prime factors of 13159 are 13159. Prime factorization of 13159 in exponential form is:

13159 = 13159¹

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 13159

List of positive integer factors of 13159 that divides 13140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13140 and 13159. The biggest common factor number is the GCF number.
So the greatest common factor 13140 and 13159 is 1.

Also check out the Least Common Multiple of 13140 and 13159