What is the Greatest Common Factor of 26705 and 26717?

Greatest common factor (GCF) of 26705 and 26717 is 1.

GCF(26705,26717) = 1

We will now calculate the prime factors of 26705 and 26717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26705 and 26717.

How to find the GCF of 26705 and 26717?

We will first find the prime factorization of 26705 and 26717. After we will calculate the factors of 26705 and 26717 and find the biggest common factor number .

Step-1: Prime Factorization of 26705

Prime factors of 26705 are 5, 7, 109. Prime factorization of 26705 in exponential form is:

26705 = 5¹ × 7² × 109¹

Step-2: Prime Factorization of 26717

Prime factors of 26717 are 26717. Prime factorization of 26717 in exponential form is:

26717 = 26717¹

Step-3: Factors of 26705

List of positive integer factors of 26705 that divides 26705 without a remainder.

1, 5, 7, 35, 49, 109, 245, 545, 763, 3815, 5341

Step-4: Factors of 26717

List of positive integer factors of 26717 that divides 26705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26705 and 26717. The biggest common factor number is the GCF number.
So the greatest common factor 26705 and 26717 is 1.

Also check out the Least Common Multiple of 26705 and 26717