What is the Greatest Common Factor of 12354 and 12371?

Greatest common factor (GCF) of 12354 and 12371 is 1.

GCF(12354,12371) = 1

We will now calculate the prime factors of 12354 and 12371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12354 and 12371.

How to find the GCF of 12354 and 12371?

We will first find the prime factorization of 12354 and 12371. After we will calculate the factors of 12354 and 12371 and find the biggest common factor number .

Step-1: Prime Factorization of 12354

Prime factors of 12354 are 2, 3, 29, 71. Prime factorization of 12354 in exponential form is:

12354 = 2¹ × 3¹ × 29¹ × 71¹

Step-2: Prime Factorization of 12371

Prime factors of 12371 are 89, 139. Prime factorization of 12371 in exponential form is:

12371 = 89¹ × 139¹

Step-3: Factors of 12354

List of positive integer factors of 12354 that divides 12354 without a remainder.

1, 2, 3, 6, 29, 58, 71, 87, 142, 174, 213, 426, 2059, 4118, 6177

Step-4: Factors of 12371

List of positive integer factors of 12371 that divides 12354 without a remainder.

1, 89, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12354 and 12371. The biggest common factor number is the GCF number.
So the greatest common factor 12354 and 12371 is 1.

Also check out the Least Common Multiple of 12354 and 12371