What is the Greatest Common Factor of 19808 and 19816?

Greatest common factor (GCF) of 19808 and 19816 is 8.

GCF(19808,19816) = 8

We will now calculate the prime factors of 19808 and 19816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19808 and 19816.

How to find the GCF of 19808 and 19816?

We will first find the prime factorization of 19808 and 19816. After we will calculate the factors of 19808 and 19816 and find the biggest common factor number .

Step-1: Prime Factorization of 19808

Prime factors of 19808 are 2, 619. Prime factorization of 19808 in exponential form is:

19808 = 2⁵ × 619¹

Step-2: Prime Factorization of 19816

Prime factors of 19816 are 2, 2477. Prime factorization of 19816 in exponential form is:

19816 = 2³ × 2477¹

Step-3: Factors of 19808

List of positive integer factors of 19808 that divides 19808 without a remainder.

1, 2, 4, 8, 16, 32, 619, 1238, 2476, 4952, 9904

Step-4: Factors of 19816

List of positive integer factors of 19816 that divides 19808 without a remainder.

1, 2, 4, 8, 2477, 4954, 9908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19808 and 19816. The biggest common factor number is the GCF number.
So the greatest common factor 19808 and 19816 is 8.

Also check out the Least Common Multiple of 19808 and 19816