What is the Greatest Common Factor of 26817 and 26829?

Greatest common factor (GCF) of 26817 and 26829 is 3.

GCF(26817,26829) = 3

We will now calculate the prime factors of 26817 and 26829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26817 and 26829.

How to find the GCF of 26817 and 26829?

We will first find the prime factorization of 26817 and 26829. After we will calculate the factors of 26817 and 26829 and find the biggest common factor number .

Step-1: Prime Factorization of 26817

Prime factors of 26817 are 3, 7, 1277. Prime factorization of 26817 in exponential form is:

26817 = 3¹ × 7¹ × 1277¹

Step-2: Prime Factorization of 26829

Prime factors of 26829 are 3, 11, 271. Prime factorization of 26829 in exponential form is:

26829 = 3² × 11¹ × 271¹

Step-3: Factors of 26817

List of positive integer factors of 26817 that divides 26817 without a remainder.

1, 3, 7, 21, 1277, 3831, 8939

Step-4: Factors of 26829

List of positive integer factors of 26829 that divides 26817 without a remainder.

1, 3, 9, 11, 33, 99, 271, 813, 2439, 2981, 8943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26817 and 26829. The biggest common factor number is the GCF number.
So the greatest common factor 26817 and 26829 is 3.

Also check out the Least Common Multiple of 26817 and 26829