What is the Greatest Common Factor of 26166 and 26173?

Greatest common factor (GCF) of 26166 and 26173 is 7.

GCF(26166,26173) = 7

We will now calculate the prime factors of 26166 and 26173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26166 and 26173.

How to find the GCF of 26166 and 26173?

We will first find the prime factorization of 26166 and 26173. After we will calculate the factors of 26166 and 26173 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 26173

Prime factors of 26173 are 7, 3739. Prime factorization of 26173 in exponential form is:

26173 = 7¹ × 3739¹

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 26173

List of positive integer factors of 26173 that divides 26166 without a remainder.

1, 7, 3739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26166 and 26173. The biggest common factor number is the GCF number.
So the greatest common factor 26166 and 26173 is 7.

Also check out the Least Common Multiple of 26166 and 26173