What is the Greatest Common Factor of 26109 and 26118?

Greatest common factor (GCF) of 26109 and 26118 is 9.

GCF(26109,26118) = 9

We will now calculate the prime factors of 26109 and 26118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26109 and 26118.

How to find the GCF of 26109 and 26118?

We will first find the prime factorization of 26109 and 26118. After we will calculate the factors of 26109 and 26118 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 26118

Prime factors of 26118 are 2, 3, 1451. Prime factorization of 26118 in exponential form is:

26118 = 2¹ × 3² × 1451¹

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 26118

List of positive integer factors of 26118 that divides 26109 without a remainder.

1, 2, 3, 6, 9, 18, 1451, 2902, 4353, 8706, 13059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26109 and 26118. The biggest common factor number is the GCF number.
So the greatest common factor 26109 and 26118 is 9.

Also check out the Least Common Multiple of 26109 and 26118