What is the Greatest Common Factor of 12354 and 12374?

Greatest common factor (GCF) of 12354 and 12374 is 2.

GCF(12354,12374) = 2

We will now calculate the prime factors of 12354 and 12374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12354 and 12374.

How to find the GCF of 12354 and 12374?

We will first find the prime factorization of 12354 and 12374. After we will calculate the factors of 12354 and 12374 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 12374

Prime factors of 12374 are 2, 23, 269. Prime factorization of 12374 in exponential form is:

12374 = 2¹ × 23¹ × 269¹

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 12374

List of positive integer factors of 12374 that divides 12354 without a remainder.

1, 2, 23, 46, 269, 538, 6187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12354 and 12374. The biggest common factor number is the GCF number.
So the greatest common factor 12354 and 12374 is 2.

Also check out the Least Common Multiple of 12354 and 12374