What is the Greatest Common Factor of 20802 and 20808?

Greatest common factor (GCF) of 20802 and 20808 is 6.

GCF(20802,20808) = 6

We will now calculate the prime factors of 20802 and 20808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20802 and 20808.

How to find the GCF of 20802 and 20808?

We will first find the prime factorization of 20802 and 20808. After we will calculate the factors of 20802 and 20808 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20808

Prime factors of 20808 are 2, 3, 17. Prime factorization of 20808 in exponential form is:

20808 = 2³ × 3² × 17²

Step-3: Factors of 20802

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

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

Step-4: Factors of 20808

List of positive integer factors of 20808 that divides 20802 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 289, 306, 408, 578, 612, 867, 1156, 1224, 1734, 2312, 2601, 3468, 5202, 6936, 10404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20802 and 20808. The biggest common factor number is the GCF number.
So the greatest common factor 20802 and 20808 is 6.

Also check out the Least Common Multiple of 20802 and 20808