What is the Greatest Common Factor of 26159 and 26166?

Greatest common factor (GCF) of 26159 and 26166 is 7.

GCF(26159,26166) = 7

We will now calculate the prime factors of 26159 and 26166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26159 and 26166.

How to find the GCF of 26159 and 26166?

We will first find the prime factorization of 26159 and 26166. After we will calculate the factors of 26159 and 26166 and find the biggest common factor number .

Step-1: Prime Factorization of 26159

Prime factors of 26159 are 7, 37, 101. Prime factorization of 26159 in exponential form is:

26159 = 7¹ × 37¹ × 101¹

Step-2: 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-3: Factors of 26159

List of positive integer factors of 26159 that divides 26159 without a remainder.

1, 7, 37, 101, 259, 707, 3737

Step-4: Factors of 26166

List of positive integer factors of 26166 that divides 26159 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26159 and 26166. The biggest common factor number is the GCF number.
So the greatest common factor 26159 and 26166 is 7.

Also check out the Least Common Multiple of 26159 and 26166