What is the Greatest Common Factor of 20792 and 20798?

Greatest common factor (GCF) of 20792 and 20798 is 2.

GCF(20792,20798) = 2

We will now calculate the prime factors of 20792 and 20798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20792 and 20798.

How to find the GCF of 20792 and 20798?

We will first find the prime factorization of 20792 and 20798. After we will calculate the factors of 20792 and 20798 and find the biggest common factor number .

Step-1: Prime Factorization of 20792

Prime factors of 20792 are 2, 23, 113. Prime factorization of 20792 in exponential form is:

20792 = 2³ × 23¹ × 113¹

Step-2: Prime Factorization of 20798

Prime factors of 20798 are 2, 10399. Prime factorization of 20798 in exponential form is:

20798 = 2¹ × 10399¹

Step-3: Factors of 20792

List of positive integer factors of 20792 that divides 20792 without a remainder.

1, 2, 4, 8, 23, 46, 92, 113, 184, 226, 452, 904, 2599, 5198, 10396

Step-4: Factors of 20798

List of positive integer factors of 20798 that divides 20792 without a remainder.

1, 2, 10399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20792 and 20798. The biggest common factor number is the GCF number.
So the greatest common factor 20792 and 20798 is 2.

Also check out the Least Common Multiple of 20792 and 20798