What is the Greatest Common Factor of 20801 and 20808?

Greatest common factor (GCF) of 20801 and 20808 is 1.

GCF(20801,20808) = 1

We will now calculate the prime factors of 20801 and 20808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20801 and 20808.

How to find the GCF of 20801 and 20808?

We will first find the prime factorization of 20801 and 20808. After we will calculate the factors of 20801 and 20808 and find the biggest common factor number .

Step-1: Prime Factorization of 20801

Prime factors of 20801 are 11, 31, 61. Prime factorization of 20801 in exponential form is:

20801 = 11¹ × 31¹ × 61¹

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 20801

List of positive integer factors of 20801 that divides 20801 without a remainder.

1, 11, 31, 61, 341, 671, 1891

Step-4: Factors of 20808

List of positive integer factors of 20808 that divides 20801 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 20801 and 20808. The biggest common factor number is the GCF number.
So the greatest common factor 20801 and 20808 is 1.

Also check out the Least Common Multiple of 20801 and 20808