What is the Greatest Common Factor of 19792 and 19796?

Greatest common factor (GCF) of 19792 and 19796 is 4.

GCF(19792,19796) = 4

We will now calculate the prime factors of 19792 and 19796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19792 and 19796.

How to find the GCF of 19792 and 19796?

We will first find the prime factorization of 19792 and 19796. After we will calculate the factors of 19792 and 19796 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 19796

Prime factors of 19796 are 2, 7, 101. Prime factorization of 19796 in exponential form is:

19796 = 2² × 7² × 101¹

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 19796

List of positive integer factors of 19796 that divides 19792 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 101, 196, 202, 404, 707, 1414, 2828, 4949, 9898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19792 and 19796. The biggest common factor number is the GCF number.
So the greatest common factor 19792 and 19796 is 4.

Also check out the Least Common Multiple of 19792 and 19796