What is the Greatest Common Factor of 19128 and 19146?

Greatest common factor (GCF) of 19128 and 19146 is 6.

GCF(19128,19146) = 6

We will now calculate the prime factors of 19128 and 19146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19128 and 19146.

How to find the GCF of 19128 and 19146?

We will first find the prime factorization of 19128 and 19146. After we will calculate the factors of 19128 and 19146 and find the biggest common factor number .

Step-1: Prime Factorization of 19128

Prime factors of 19128 are 2, 3, 797. Prime factorization of 19128 in exponential form is:

19128 = 2³ × 3¹ × 797¹

Step-2: 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-3: Factors of 19128

List of positive integer factors of 19128 that divides 19128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 797, 1594, 2391, 3188, 4782, 6376, 9564

Step-4: Factors of 19146

List of positive integer factors of 19146 that divides 19128 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19128 and 19146. The biggest common factor number is the GCF number.
So the greatest common factor 19128 and 19146 is 6.

Also check out the Least Common Multiple of 19128 and 19146