What is the Greatest Common Factor of 12456 and 12472?

Greatest common factor (GCF) of 12456 and 12472 is 8.

GCF(12456,12472) = 8

We will now calculate the prime factors of 12456 and 12472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12456 and 12472.

How to find the GCF of 12456 and 12472?

We will first find the prime factorization of 12456 and 12472. After we will calculate the factors of 12456 and 12472 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12472

Prime factors of 12472 are 2, 1559. Prime factorization of 12472 in exponential form is:

12472 = 2³ × 1559¹

Step-3: Factors of 12456

List of positive integer factors of 12456 that divides 12456 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

Step-4: Factors of 12472

List of positive integer factors of 12472 that divides 12456 without a remainder.

1, 2, 4, 8, 1559, 3118, 6236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12456 and 12472. The biggest common factor number is the GCF number.
So the greatest common factor 12456 and 12472 is 8.

Also check out the Least Common Multiple of 12456 and 12472