What is the Greatest Common Factor of 12345 and 12349?

Greatest common factor (GCF) of 12345 and 12349 is 1.

GCF(12345,12349) = 1

We will now calculate the prime factors of 12345 and 12349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12345 and 12349.

How to find the GCF of 12345 and 12349?

We will first find the prime factorization of 12345 and 12349. After we will calculate the factors of 12345 and 12349 and find the biggest common factor number .

Step-1: Prime Factorization of 12345

Prime factors of 12345 are 3, 5, 823. Prime factorization of 12345 in exponential form is:

12345 = 3¹ × 5¹ × 823¹

Step-2: Prime Factorization of 12349

Prime factors of 12349 are 53, 233. Prime factorization of 12349 in exponential form is:

12349 = 53¹ × 233¹

Step-3: Factors of 12345

List of positive integer factors of 12345 that divides 12345 without a remainder.

1, 3, 5, 15, 823, 2469, 4115

Step-4: Factors of 12349

List of positive integer factors of 12349 that divides 12345 without a remainder.

1, 53, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12345 and 12349. The biggest common factor number is the GCF number.
So the greatest common factor 12345 and 12349 is 1.

Also check out the Least Common Multiple of 12345 and 12349