What is the Greatest Common Factor of 26695 and 26705?

Greatest common factor (GCF) of 26695 and 26705 is 5.

GCF(26695,26705) = 5

We will now calculate the prime factors of 26695 and 26705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26695 and 26705.

How to find the GCF of 26695 and 26705?

We will first find the prime factorization of 26695 and 26705. After we will calculate the factors of 26695 and 26705 and find the biggest common factor number .

Step-1: Prime Factorization of 26695

Prime factors of 26695 are 5, 19, 281. Prime factorization of 26695 in exponential form is:

26695 = 5¹ × 19¹ × 281¹

Step-2: 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-3: Factors of 26695

List of positive integer factors of 26695 that divides 26695 without a remainder.

1, 5, 19, 95, 281, 1405, 5339

Step-4: Factors of 26705

List of positive integer factors of 26705 that divides 26695 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26695 and 26705. The biggest common factor number is the GCF number.
So the greatest common factor 26695 and 26705 is 5.

Also check out the Least Common Multiple of 26695 and 26705