What is the Greatest Common Factor of 26205 and 26209?

Greatest common factor (GCF) of 26205 and 26209 is 1.

GCF(26205,26209) = 1

We will now calculate the prime factors of 26205 and 26209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26205 and 26209.

How to find the GCF of 26205 and 26209?

We will first find the prime factorization of 26205 and 26209. After we will calculate the factors of 26205 and 26209 and find the biggest common factor number .

Step-1: Prime Factorization of 26205

Prime factors of 26205 are 3, 5, 1747. Prime factorization of 26205 in exponential form is:

26205 = 3¹ × 5¹ × 1747¹

Step-2: Prime Factorization of 26209

Prime factors of 26209 are 26209. Prime factorization of 26209 in exponential form is:

26209 = 26209¹

Step-3: Factors of 26205

List of positive integer factors of 26205 that divides 26205 without a remainder.

1, 3, 5, 15, 1747, 5241, 8735

Step-4: Factors of 26209

List of positive integer factors of 26209 that divides 26205 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26205 and 26209. The biggest common factor number is the GCF number.
So the greatest common factor 26205 and 26209 is 1.

Also check out the Least Common Multiple of 26205 and 26209