What is the Greatest Common Factor of 12358 and 12377?

Greatest common factor (GCF) of 12358 and 12377 is 1.

GCF(12358,12377) = 1

We will now calculate the prime factors of 12358 and 12377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12358 and 12377.

How to find the GCF of 12358 and 12377?

We will first find the prime factorization of 12358 and 12377. After we will calculate the factors of 12358 and 12377 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12377

Prime factors of 12377 are 12377. Prime factorization of 12377 in exponential form is:

12377 = 12377¹

Step-3: Factors of 12358

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

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

Step-4: Factors of 12377

List of positive integer factors of 12377 that divides 12358 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12358 and 12377. The biggest common factor number is the GCF number.
So the greatest common factor 12358 and 12377 is 1.

Also check out the Least Common Multiple of 12358 and 12377