What is the Greatest Common Factor of 26157 and 26166?

Greatest common factor (GCF) of 26157 and 26166 is 3.

GCF(26157,26166) = 3

We will now calculate the prime factors of 26157 and 26166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26157 and 26166.

How to find the GCF of 26157 and 26166?

We will first find the prime factorization of 26157 and 26166. After we will calculate the factors of 26157 and 26166 and find the biggest common factor number .

Step-1: Prime Factorization of 26157

Prime factors of 26157 are 3, 8719. Prime factorization of 26157 in exponential form is:

26157 = 3¹ × 8719¹

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 26157

List of positive integer factors of 26157 that divides 26157 without a remainder.

1, 3, 8719

Step-4: Factors of 26166

List of positive integer factors of 26166 that divides 26157 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 26157 and 26166. The biggest common factor number is the GCF number.
So the greatest common factor 26157 and 26166 is 3.

Also check out the Least Common Multiple of 26157 and 26166