What is the Greatest Common Factor of 19146 and 19158?

Greatest common factor (GCF) of 19146 and 19158 is 6.

GCF(19146,19158) = 6

We will now calculate the prime factors of 19146 and 19158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19146 and 19158.

How to find the GCF of 19146 and 19158?

We will first find the prime factorization of 19146 and 19158. After we will calculate the factors of 19146 and 19158 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 19158

Prime factors of 19158 are 2, 3, 31, 103. Prime factorization of 19158 in exponential form is:

19158 = 2¹ × 3¹ × 31¹ × 103¹

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 19158

List of positive integer factors of 19158 that divides 19146 without a remainder.

1, 2, 3, 6, 31, 62, 93, 103, 186, 206, 309, 618, 3193, 6386, 9579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19146 and 19158. The biggest common factor number is the GCF number.
So the greatest common factor 19146 and 19158 is 6.

Also check out the Least Common Multiple of 19146 and 19158