What is the Greatest Common Factor of 26871 and 26883?

Greatest common factor (GCF) of 26871 and 26883 is 3.

GCF(26871,26883) = 3

We will now calculate the prime factors of 26871 and 26883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26871 and 26883.

How to find the GCF of 26871 and 26883?

We will first find the prime factorization of 26871 and 26883. After we will calculate the factors of 26871 and 26883 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 26883

Prime factors of 26883 are 3, 29, 103. Prime factorization of 26883 in exponential form is:

26883 = 3² × 29¹ × 103¹

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 26883

List of positive integer factors of 26883 that divides 26871 without a remainder.

1, 3, 9, 29, 87, 103, 261, 309, 927, 2987, 8961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26871 and 26883. The biggest common factor number is the GCF number.
So the greatest common factor 26871 and 26883 is 3.

Also check out the Least Common Multiple of 26871 and 26883