What is the Greatest Common Factor of 19146 and 19161?

Greatest common factor (GCF) of 19146 and 19161 is 3.

GCF(19146,19161) = 3

We will now calculate the prime factors of 19146 and 19161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19146 and 19161.

How to find the GCF of 19146 and 19161?

We will first find the prime factorization of 19146 and 19161. After we will calculate the factors of 19146 and 19161 and find the biggest common factor number .

Step-1: Prime Factorization of 19146

Prime factors of 19146 are 2, 3, 3191. Prime factorization of 19146 in exponential form is:

19146 = 2¹ × 3¹ × 3191¹

Step-2: Prime Factorization of 19161

Prime factors of 19161 are 3, 2129. Prime factorization of 19161 in exponential form is:

19161 = 3² × 2129¹

Step-3: Factors of 19146

List of positive integer factors of 19146 that divides 19146 without a remainder.

1, 2, 3, 6, 3191, 6382, 9573

Step-4: Factors of 19161

List of positive integer factors of 19161 that divides 19146 without a remainder.

1, 3, 9, 2129, 6387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19146 and 19161. The biggest common factor number is the GCF number.
So the greatest common factor 19146 and 19161 is 3.

Also check out the Least Common Multiple of 19146 and 19161