What is the Greatest Common Factor of 20796 and 20802?

Greatest common factor (GCF) of 20796 and 20802 is 6.

GCF(20796,20802) = 6

We will now calculate the prime factors of 20796 and 20802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20796 and 20802.

How to find the GCF of 20796 and 20802?

We will first find the prime factorization of 20796 and 20802. After we will calculate the factors of 20796 and 20802 and find the biggest common factor number .

Step-1: Prime Factorization of 20796

Prime factors of 20796 are 2, 3, 1733. Prime factorization of 20796 in exponential form is:

20796 = 2² × 3¹ × 1733¹

Step-2: Prime Factorization of 20802

Prime factors of 20802 are 2, 3, 3467. Prime factorization of 20802 in exponential form is:

20802 = 2¹ × 3¹ × 3467¹

Step-3: Factors of 20796

List of positive integer factors of 20796 that divides 20796 without a remainder.

1, 2, 3, 4, 6, 12, 1733, 3466, 5199, 6932, 10398

Step-4: Factors of 20802

List of positive integer factors of 20802 that divides 20796 without a remainder.

1, 2, 3, 6, 3467, 6934, 10401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20796 and 20802. The biggest common factor number is the GCF number.
So the greatest common factor 20796 and 20802 is 6.

Also check out the Least Common Multiple of 20796 and 20802