What is the Greatest Common Factor of 26865 and 26871?

Greatest common factor (GCF) of 26865 and 26871 is 3.

GCF(26865,26871) = 3

We will now calculate the prime factors of 26865 and 26871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26865 and 26871.

How to find the GCF of 26865 and 26871?

We will first find the prime factorization of 26865 and 26871. After we will calculate the factors of 26865 and 26871 and find the biggest common factor number .

Step-1: Prime Factorization of 26865

Prime factors of 26865 are 3, 5, 199. Prime factorization of 26865 in exponential form is:

26865 = 3³ × 5¹ × 199¹

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 26865

List of positive integer factors of 26865 that divides 26865 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 199, 597, 995, 1791, 2985, 5373, 8955

Step-4: Factors of 26871

List of positive integer factors of 26871 that divides 26865 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 26865 and 26871. The biggest common factor number is the GCF number.
So the greatest common factor 26865 and 26871 is 3.

Also check out the Least Common Multiple of 26865 and 26871