What is the Greatest Common Factor of 20844 and 20859?

Greatest common factor (GCF) of 20844 and 20859 is 3.

GCF(20844,20859) = 3

We will now calculate the prime factors of 20844 and 20859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20844 and 20859.

How to find the GCF of 20844 and 20859?

We will first find the prime factorization of 20844 and 20859. After we will calculate the factors of 20844 and 20859 and find the biggest common factor number .

Step-1: Prime Factorization of 20844

Prime factors of 20844 are 2, 3, 193. Prime factorization of 20844 in exponential form is:

20844 = 2² × 3³ × 193¹

Step-2: Prime Factorization of 20859

Prime factors of 20859 are 3, 17, 409. Prime factorization of 20859 in exponential form is:

20859 = 3¹ × 17¹ × 409¹

Step-3: Factors of 20844

List of positive integer factors of 20844 that divides 20844 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 5211, 6948, 10422

Step-4: Factors of 20859

List of positive integer factors of 20859 that divides 20844 without a remainder.

1, 3, 17, 51, 409, 1227, 6953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20844 and 20859. The biggest common factor number is the GCF number.
So the greatest common factor 20844 and 20859 is 3.

Also check out the Least Common Multiple of 20844 and 20859