What is the Greatest Common Factor of 26859 and 26871?

Greatest common factor (GCF) of 26859 and 26871 is 3.

GCF(26859,26871) = 3

We will now calculate the prime factors of 26859 and 26871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26859 and 26871.

How to find the GCF of 26859 and 26871?

We will first find the prime factorization of 26859 and 26871. After we will calculate the factors of 26859 and 26871 and find the biggest common factor number .

Step-1: Prime Factorization of 26859

Prime factors of 26859 are 3, 7, 1279. Prime factorization of 26859 in exponential form is:

26859 = 3¹ × 7¹ × 1279¹

Step-2: Prime Factorization of 26871

Prime factors of 26871 are 3, 13, 53. Prime factorization of 26871 in exponential form is:

26871 = 3¹ × 13² × 53¹

Step-3: Factors of 26859

List of positive integer factors of 26859 that divides 26859 without a remainder.

1, 3, 7, 21, 1279, 3837, 8953

Step-4: Factors of 26871

List of positive integer factors of 26871 that divides 26859 without a remainder.

1, 3, 13, 39, 53, 159, 169, 507, 689, 2067, 8957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26859 and 26871. The biggest common factor number is the GCF number.
So the greatest common factor 26859 and 26871 is 3.

Also check out the Least Common Multiple of 26859 and 26871