What is the Greatest Common Factor of 19416 and 19428?

Greatest common factor (GCF) of 19416 and 19428 is 12.

GCF(19416,19428) = 12

We will now calculate the prime factors of 19416 and 19428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19416 and 19428.

How to find the GCF of 19416 and 19428?

We will first find the prime factorization of 19416 and 19428. After we will calculate the factors of 19416 and 19428 and find the biggest common factor number .

Step-1: Prime Factorization of 19416

Prime factors of 19416 are 2, 3, 809. Prime factorization of 19416 in exponential form is:

19416 = 2³ × 3¹ × 809¹

Step-2: Prime Factorization of 19428

Prime factors of 19428 are 2, 3, 1619. Prime factorization of 19428 in exponential form is:

19428 = 2² × 3¹ × 1619¹

Step-3: Factors of 19416

List of positive integer factors of 19416 that divides 19416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 809, 1618, 2427, 3236, 4854, 6472, 9708

Step-4: Factors of 19428

List of positive integer factors of 19428 that divides 19416 without a remainder.

1, 2, 3, 4, 6, 12, 1619, 3238, 4857, 6476, 9714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19416 and 19428. The biggest common factor number is the GCF number.
So the greatest common factor 19416 and 19428 is 12.

Also check out the Least Common Multiple of 19416 and 19428