What is the Greatest Common Factor of 20859 and 20867?

Greatest common factor (GCF) of 20859 and 20867 is 1.

GCF(20859,20867) = 1

We will now calculate the prime factors of 20859 and 20867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20859 and 20867.

How to find the GCF of 20859 and 20867?

We will first find the prime factorization of 20859 and 20867. After we will calculate the factors of 20859 and 20867 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 20867

Prime factors of 20867 are 7, 11, 271. Prime factorization of 20867 in exponential form is:

20867 = 7¹ × 11¹ × 271¹

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 20867

List of positive integer factors of 20867 that divides 20859 without a remainder.

1, 7, 11, 77, 271, 1897, 2981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20859 and 20867. The biggest common factor number is the GCF number.
So the greatest common factor 20859 and 20867 is 1.

Also check out the Least Common Multiple of 20859 and 20867