What is the Greatest Common Factor of 19792 and 19808?

Greatest common factor (GCF) of 19792 and 19808 is 16.

GCF(19792,19808) = 16

We will now calculate the prime factors of 19792 and 19808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19792 and 19808.

How to find the GCF of 19792 and 19808?

We will first find the prime factorization of 19792 and 19808. After we will calculate the factors of 19792 and 19808 and find the biggest common factor number .

Step-1: Prime Factorization of 19792

Prime factors of 19792 are 2, 1237. Prime factorization of 19792 in exponential form is:

19792 = 2⁴ × 1237¹

Step-2: Prime Factorization of 19808

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

19808 = 2⁵ × 619¹

Step-3: Factors of 19792

List of positive integer factors of 19792 that divides 19792 without a remainder.

1, 2, 4, 8, 16, 1237, 2474, 4948, 9896

Step-4: Factors of 19808

List of positive integer factors of 19808 that divides 19792 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19792 and 19808. The biggest common factor number is the GCF number.
So the greatest common factor 19792 and 19808 is 16.

Also check out the Least Common Multiple of 19792 and 19808