What is the Greatest Common Factor of 26166 and 26181?

Greatest common factor (GCF) of 26166 and 26181 is 3.

GCF(26166,26181) = 3

We will now calculate the prime factors of 26166 and 26181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26166 and 26181.

How to find the GCF of 26166 and 26181?

We will first find the prime factorization of 26166 and 26181. After we will calculate the factors of 26166 and 26181 and find the biggest common factor number .

Step-1: Prime Factorization of 26166

Prime factors of 26166 are 2, 3, 7, 89. Prime factorization of 26166 in exponential form is:

26166 = 2¹ × 3¹ × 7² × 89¹

Step-2: Prime Factorization of 26181

Prime factors of 26181 are 3, 2909. Prime factorization of 26181 in exponential form is:

26181 = 3² × 2909¹

Step-3: Factors of 26166

List of positive integer factors of 26166 that divides 26166 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 89, 98, 147, 178, 267, 294, 534, 623, 1246, 1869, 3738, 4361, 8722, 13083

Step-4: Factors of 26181

List of positive integer factors of 26181 that divides 26166 without a remainder.

1, 3, 9, 2909, 8727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26166 and 26181. The biggest common factor number is the GCF number.
So the greatest common factor 26166 and 26181 is 3.

Also check out the Least Common Multiple of 26166 and 26181