What is the Greatest Common Factor of 12443 and 12456?

Greatest common factor (GCF) of 12443 and 12456 is 1.

GCF(12443,12456) = 1

We will now calculate the prime factors of 12443 and 12456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12443 and 12456.

How to find the GCF of 12443 and 12456?

We will first find the prime factorization of 12443 and 12456. After we will calculate the factors of 12443 and 12456 and find the biggest common factor number .

Step-1: Prime Factorization of 12443

Prime factors of 12443 are 23, 541. Prime factorization of 12443 in exponential form is:

12443 = 23¹ × 541¹

Step-2: Prime Factorization of 12456

Prime factors of 12456 are 2, 3, 173. Prime factorization of 12456 in exponential form is:

12456 = 2³ × 3² × 173¹

Step-3: Factors of 12443

List of positive integer factors of 12443 that divides 12443 without a remainder.

1, 23, 541

Step-4: Factors of 12456

List of positive integer factors of 12456 that divides 12443 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 173, 346, 519, 692, 1038, 1384, 1557, 2076, 3114, 4152, 6228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12443 and 12456. The biggest common factor number is the GCF number.
So the greatest common factor 12443 and 12456 is 1.

Also check out the Least Common Multiple of 12443 and 12456