What is the Greatest Common Factor of 12354 and 12363?

Greatest common factor (GCF) of 12354 and 12363 is 3.

GCF(12354,12363) = 3

We will now calculate the prime factors of 12354 and 12363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12354 and 12363.

How to find the GCF of 12354 and 12363?

We will first find the prime factorization of 12354 and 12363. After we will calculate the factors of 12354 and 12363 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 12363

Prime factors of 12363 are 3, 13, 317. Prime factorization of 12363 in exponential form is:

12363 = 3¹ × 13¹ × 317¹

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 12363

List of positive integer factors of 12363 that divides 12354 without a remainder.

1, 3, 13, 39, 317, 951, 4121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12354 and 12363. The biggest common factor number is the GCF number.
So the greatest common factor 12354 and 12363 is 3.

Also check out the Least Common Multiple of 12354 and 12363