What is the Greatest Common Factor of 12259 and 12263?

Greatest common factor (GCF) of 12259 and 12263 is 1.

GCF(12259,12263) = 1

We will now calculate the prime factors of 12259 and 12263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12259 and 12263.

How to find the GCF of 12259 and 12263?

We will first find the prime factorization of 12259 and 12263. After we will calculate the factors of 12259 and 12263 and find the biggest common factor number .

Step-1: Prime Factorization of 12259

Prime factors of 12259 are 13, 23, 41. Prime factorization of 12259 in exponential form is:

12259 = 13¹ × 23¹ × 41¹

Step-2: Prime Factorization of 12263

Prime factors of 12263 are 12263. Prime factorization of 12263 in exponential form is:

12263 = 12263¹

Step-3: Factors of 12259

List of positive integer factors of 12259 that divides 12259 without a remainder.

1, 13, 23, 41, 299, 533, 943

Step-4: Factors of 12263

List of positive integer factors of 12263 that divides 12259 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12259 and 12263. The biggest common factor number is the GCF number.
So the greatest common factor 12259 and 12263 is 1.

Also check out the Least Common Multiple of 12259 and 12263