What is the Greatest Common Factor of 26257 and 26265?

Greatest common factor (GCF) of 26257 and 26265 is 1.

GCF(26257,26265) = 1

We will now calculate the prime factors of 26257 and 26265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26257 and 26265.

How to find the GCF of 26257 and 26265?

We will first find the prime factorization of 26257 and 26265. After we will calculate the factors of 26257 and 26265 and find the biggest common factor number .

Step-1: Prime Factorization of 26257

Prime factors of 26257 are 7, 11, 31. Prime factorization of 26257 in exponential form is:

26257 = 7¹ × 11² × 31¹

Step-2: Prime Factorization of 26265

Prime factors of 26265 are 3, 5, 17, 103. Prime factorization of 26265 in exponential form is:

26265 = 3¹ × 5¹ × 17¹ × 103¹

Step-3: Factors of 26257

List of positive integer factors of 26257 that divides 26257 without a remainder.

1, 7, 11, 31, 77, 121, 217, 341, 847, 2387, 3751

Step-4: Factors of 26265

List of positive integer factors of 26265 that divides 26257 without a remainder.

1, 3, 5, 15, 17, 51, 85, 103, 255, 309, 515, 1545, 1751, 5253, 8755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26257 and 26265. The biggest common factor number is the GCF number.
So the greatest common factor 26257 and 26265 is 1.

Also check out the Least Common Multiple of 26257 and 26265