What is the Greatest Common Factor of 19416 and 19436?

Greatest common factor (GCF) of 19416 and 19436 is 4.

GCF(19416,19436) = 4

We will now calculate the prime factors of 19416 and 19436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19416 and 19436.

How to find the GCF of 19416 and 19436?

We will first find the prime factorization of 19416 and 19436. After we will calculate the factors of 19416 and 19436 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 19436

Prime factors of 19436 are 2, 43, 113. Prime factorization of 19436 in exponential form is:

19436 = 2² × 43¹ × 113¹

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 19436

List of positive integer factors of 19436 that divides 19416 without a remainder.

1, 2, 4, 43, 86, 113, 172, 226, 452, 4859, 9718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19416 and 19436. The biggest common factor number is the GCF number.
So the greatest common factor 19416 and 19436 is 4.

Also check out the Least Common Multiple of 19416 and 19436