What is the Greatest Common Factor of 19410 and 19416?

Greatest common factor (GCF) of 19410 and 19416 is 6.

GCF(19410,19416) = 6

We will now calculate the prime factors of 19410 and 19416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19410 and 19416.

How to find the GCF of 19410 and 19416?

We will first find the prime factorization of 19410 and 19416. After we will calculate the factors of 19410 and 19416 and find the biggest common factor number .

Step-1: Prime Factorization of 19410

Prime factors of 19410 are 2, 3, 5, 647. Prime factorization of 19410 in exponential form is:

19410 = 2¹ × 3¹ × 5¹ × 647¹

Step-2: 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-3: Factors of 19410

List of positive integer factors of 19410 that divides 19410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 647, 1294, 1941, 3235, 3882, 6470, 9705

Step-4: Factors of 19416

List of positive integer factors of 19416 that divides 19410 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19410 and 19416. The biggest common factor number is the GCF number.
So the greatest common factor 19410 and 19416 is 6.

Also check out the Least Common Multiple of 19410 and 19416