What is the Greatest Common Factor of 12354 and 12368?

Greatest common factor (GCF) of 12354 and 12368 is 2.

GCF(12354,12368) = 2

We will now calculate the prime factors of 12354 and 12368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12354 and 12368.

How to find the GCF of 12354 and 12368?

We will first find the prime factorization of 12354 and 12368. After we will calculate the factors of 12354 and 12368 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 12368

Prime factors of 12368 are 2, 773. Prime factorization of 12368 in exponential form is:

12368 = 2⁴ × 773¹

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 12368

List of positive integer factors of 12368 that divides 12354 without a remainder.

1, 2, 4, 8, 16, 773, 1546, 3092, 6184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12354 and 12368. The biggest common factor number is the GCF number.
So the greatest common factor 12354 and 12368 is 2.

Also check out the Least Common Multiple of 12354 and 12368