What is the Greatest Common Factor of 13146 and 13161?

Greatest common factor (GCF) of 13146 and 13161 is 3.

GCF(13146,13161) = 3

We will now calculate the prime factors of 13146 and 13161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13146 and 13161.

How to find the GCF of 13146 and 13161?

We will first find the prime factorization of 13146 and 13161. After we will calculate the factors of 13146 and 13161 and find the biggest common factor number .

Step-1: Prime Factorization of 13146

Prime factors of 13146 are 2, 3, 7, 313. Prime factorization of 13146 in exponential form is:

13146 = 2¹ × 3¹ × 7¹ × 313¹

Step-2: Prime Factorization of 13161

Prime factors of 13161 are 3, 41, 107. Prime factorization of 13161 in exponential form is:

13161 = 3¹ × 41¹ × 107¹

Step-3: Factors of 13146

List of positive integer factors of 13146 that divides 13146 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 313, 626, 939, 1878, 2191, 4382, 6573

Step-4: Factors of 13161

List of positive integer factors of 13161 that divides 13146 without a remainder.

1, 3, 41, 107, 123, 321, 4387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13146 and 13161. The biggest common factor number is the GCF number.
So the greatest common factor 13146 and 13161 is 3.

Also check out the Least Common Multiple of 13146 and 13161