What is the Greatest Common Factor of 12456 and 12460?

Greatest common factor (GCF) of 12456 and 12460 is 4.

GCF(12456,12460) = 4

We will now calculate the prime factors of 12456 and 12460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12456 and 12460.

How to find the GCF of 12456 and 12460?

We will first find the prime factorization of 12456 and 12460. After we will calculate the factors of 12456 and 12460 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 12460

Prime factors of 12460 are 2, 5, 7, 89. Prime factorization of 12460 in exponential form is:

12460 = 2² × 5¹ × 7¹ × 89¹

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 12460

List of positive integer factors of 12460 that divides 12456 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 89, 140, 178, 356, 445, 623, 890, 1246, 1780, 2492, 3115, 6230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12456 and 12460. The biggest common factor number is the GCF number.
So the greatest common factor 12456 and 12460 is 4.

Also check out the Least Common Multiple of 12456 and 12460