What is the Greatest Common Factor of 20859 and 20879?

Greatest common factor (GCF) of 20859 and 20879 is 1.

GCF(20859,20879) = 1

We will now calculate the prime factors of 20859 and 20879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20859 and 20879.

How to find the GCF of 20859 and 20879?

We will first find the prime factorization of 20859 and 20879. After we will calculate the factors of 20859 and 20879 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 20879

Prime factors of 20879 are 20879. Prime factorization of 20879 in exponential form is:

20879 = 20879¹

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 20879

List of positive integer factors of 20879 that divides 20859 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20859 and 20879. The biggest common factor number is the GCF number.
So the greatest common factor 20859 and 20879 is 1.

Also check out the Least Common Multiple of 20859 and 20879