What is the Greatest Common Factor of 12345 and 12358?

Greatest common factor (GCF) of 12345 and 12358 is 1.

GCF(12345,12358) = 1

We will now calculate the prime factors of 12345 and 12358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12345 and 12358.

How to find the GCF of 12345 and 12358?

We will first find the prime factorization of 12345 and 12358. After we will calculate the factors of 12345 and 12358 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 12358

Prime factors of 12358 are 2, 37, 167. Prime factorization of 12358 in exponential form is:

12358 = 2¹ × 37¹ × 167¹

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 12358

List of positive integer factors of 12358 that divides 12345 without a remainder.

1, 2, 37, 74, 167, 334, 6179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12345 and 12358. The biggest common factor number is the GCF number.
So the greatest common factor 12345 and 12358 is 1.

Also check out the Least Common Multiple of 12345 and 12358