What is the Greatest Common Factor of 12257 and 12265?

Greatest common factor (GCF) of 12257 and 12265 is 1.

GCF(12257,12265) = 1

We will now calculate the prime factors of 12257 and 12265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12257 and 12265.

How to find the GCF of 12257 and 12265?

We will first find the prime factorization of 12257 and 12265. After we will calculate the factors of 12257 and 12265 and find the biggest common factor number .

Step-1: Prime Factorization of 12257

Prime factors of 12257 are 7, 17, 103. Prime factorization of 12257 in exponential form is:

12257 = 7¹ × 17¹ × 103¹

Step-2: Prime Factorization of 12265

Prime factors of 12265 are 5, 11, 223. Prime factorization of 12265 in exponential form is:

12265 = 5¹ × 11¹ × 223¹

Step-3: Factors of 12257

List of positive integer factors of 12257 that divides 12257 without a remainder.

1, 7, 17, 103, 119, 721, 1751

Step-4: Factors of 12265

List of positive integer factors of 12265 that divides 12257 without a remainder.

1, 5, 11, 55, 223, 1115, 2453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12257 and 12265. The biggest common factor number is the GCF number.
So the greatest common factor 12257 and 12265 is 1.

Also check out the Least Common Multiple of 12257 and 12265