What is the Greatest Common Factor of 20842 and 20859?

Greatest common factor (GCF) of 20842 and 20859 is 17.

GCF(20842,20859) = 17

We will now calculate the prime factors of 20842 and 20859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20842 and 20859.

How to find the GCF of 20842 and 20859?

We will first find the prime factorization of 20842 and 20859. After we will calculate the factors of 20842 and 20859 and find the biggest common factor number .

Step-1: Prime Factorization of 20842

Prime factors of 20842 are 2, 17, 613. Prime factorization of 20842 in exponential form is:

20842 = 2¹ × 17¹ × 613¹

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 20842

List of positive integer factors of 20842 that divides 20842 without a remainder.

1, 2, 17, 34, 613, 1226, 10421

Step-4: Factors of 20859

List of positive integer factors of 20859 that divides 20842 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20842 and 20859. The biggest common factor number is the GCF number.
So the greatest common factor 20842 and 20859 is 17.

Also check out the Least Common Multiple of 20842 and 20859