What is the Greatest Common Factor of 26109 and 26116?

Greatest common factor (GCF) of 26109 and 26116 is 1.

GCF(26109,26116) = 1

We will now calculate the prime factors of 26109 and 26116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26109 and 26116.

How to find the GCF of 26109 and 26116?

We will first find the prime factorization of 26109 and 26116. After we will calculate the factors of 26109 and 26116 and find the biggest common factor number .

Step-1: Prime Factorization of 26109

Prime factors of 26109 are 3, 967. Prime factorization of 26109 in exponential form is:

26109 = 3³ × 967¹

Step-2: Prime Factorization of 26116

Prime factors of 26116 are 2, 6529. Prime factorization of 26116 in exponential form is:

26116 = 2² × 6529¹

Step-3: Factors of 26109

List of positive integer factors of 26109 that divides 26109 without a remainder.

1, 3, 9, 27, 967, 2901, 8703

Step-4: Factors of 26116

List of positive integer factors of 26116 that divides 26109 without a remainder.

1, 2, 4, 6529, 13058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26109 and 26116. The biggest common factor number is the GCF number.
So the greatest common factor 26109 and 26116 is 1.

Also check out the Least Common Multiple of 26109 and 26116