What is the Greatest Common Factor of 12337 and 12354?

Greatest common factor (GCF) of 12337 and 12354 is 1.

GCF(12337,12354) = 1

We will now calculate the prime factors of 12337 and 12354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12337 and 12354.

How to find the GCF of 12337 and 12354?

We will first find the prime factorization of 12337 and 12354. After we will calculate the factors of 12337 and 12354 and find the biggest common factor number .

Step-1: Prime Factorization of 12337

Prime factors of 12337 are 13, 73. Prime factorization of 12337 in exponential form is:

12337 = 13² × 73¹

Step-2: 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-3: Factors of 12337

List of positive integer factors of 12337 that divides 12337 without a remainder.

1, 13, 73, 169, 949

Step-4: Factors of 12354

List of positive integer factors of 12354 that divides 12337 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12337 and 12354. The biggest common factor number is the GCF number.
So the greatest common factor 12337 and 12354 is 1.

Also check out the Least Common Multiple of 12337 and 12354