What is the Greatest Common Factor of 26805 and 26809?

Greatest common factor (GCF) of 26805 and 26809 is 1.

GCF(26805,26809) = 1

We will now calculate the prime factors of 26805 and 26809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26805 and 26809.

How to find the GCF of 26805 and 26809?

We will first find the prime factorization of 26805 and 26809. After we will calculate the factors of 26805 and 26809 and find the biggest common factor number .

Step-1: Prime Factorization of 26805

Prime factors of 26805 are 3, 5, 1787. Prime factorization of 26805 in exponential form is:

26805 = 3¹ × 5¹ × 1787¹

Step-2: 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-3: Factors of 26805

List of positive integer factors of 26805 that divides 26805 without a remainder.

1, 3, 5, 15, 1787, 5361, 8935

Step-4: Factors of 26809

List of positive integer factors of 26809 that divides 26805 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26805 and 26809. The biggest common factor number is the GCF number.
So the greatest common factor 26805 and 26809 is 1.

Also check out the Least Common Multiple of 26805 and 26809