What is the Greatest Common Factor of 26809 and 26826?

Greatest common factor (GCF) of 26809 and 26826 is 17.

GCF(26809,26826) = 17

We will now calculate the prime factors of 26809 and 26826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26809 and 26826.

How to find the GCF of 26809 and 26826?

We will first find the prime factorization of 26809 and 26826. After we will calculate the factors of 26809 and 26826 and find the biggest common factor number .

Step-1: Prime Factorization of 26809

Prime factors of 26809 are 17, 19, 83. Prime factorization of 26809 in exponential form is:

26809 = 17¹ × 19¹ × 83¹

Step-2: Prime Factorization of 26826

Prime factors of 26826 are 2, 3, 17, 263. Prime factorization of 26826 in exponential form is:

26826 = 2¹ × 3¹ × 17¹ × 263¹

Step-3: Factors of 26809

List of positive integer factors of 26809 that divides 26809 without a remainder.

1, 17, 19, 83, 323, 1411, 1577

Step-4: Factors of 26826

List of positive integer factors of 26826 that divides 26809 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 263, 526, 789, 1578, 4471, 8942, 13413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26809 and 26826. The biggest common factor number is the GCF number.
So the greatest common factor 26809 and 26826 is 17.

Also check out the Least Common Multiple of 26809 and 26826