What is the Greatest Common Factor of 26871 and 26889?

Greatest common factor (GCF) of 26871 and 26889 is 3.

GCF(26871,26889) = 3

We will now calculate the prime factors of 26871 and 26889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26871 and 26889.

How to find the GCF of 26871 and 26889?

We will first find the prime factorization of 26871 and 26889. After we will calculate the factors of 26871 and 26889 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26889

Prime factors of 26889 are 3, 8963. Prime factorization of 26889 in exponential form is:

26889 = 3¹ × 8963¹

Step-3: Factors of 26871

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

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

Step-4: Factors of 26889

List of positive integer factors of 26889 that divides 26871 without a remainder.

1, 3, 8963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26871 and 26889. The biggest common factor number is the GCF number.
So the greatest common factor 26871 and 26889 is 3.

Also check out the Least Common Multiple of 26871 and 26889