What is the Greatest Common Factor of 20859 and 20871?

Greatest common factor (GCF) of 20859 and 20871 is 3.

GCF(20859,20871) = 3

We will now calculate the prime factors of 20859 and 20871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20859 and 20871.

How to find the GCF of 20859 and 20871?

We will first find the prime factorization of 20859 and 20871. After we will calculate the factors of 20859 and 20871 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20871

Prime factors of 20871 are 3, 773. Prime factorization of 20871 in exponential form is:

20871 = 3³ × 773¹

Step-3: Factors of 20859

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

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

Step-4: Factors of 20871

List of positive integer factors of 20871 that divides 20859 without a remainder.

1, 3, 9, 27, 773, 2319, 6957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20859 and 20871. The biggest common factor number is the GCF number.
So the greatest common factor 20859 and 20871 is 3.

Also check out the Least Common Multiple of 20859 and 20871