What is the Greatest Common Factor of 12048 and 12056?

Greatest common factor (GCF) of 12048 and 12056 is 8.

GCF(12048,12056) = 8

We will now calculate the prime factors of 12048 and 12056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12048 and 12056.

How to find the GCF of 12048 and 12056?

We will first find the prime factorization of 12048 and 12056. After we will calculate the factors of 12048 and 12056 and find the biggest common factor number .

Step-1: Prime Factorization of 12048

Prime factors of 12048 are 2, 3, 251. Prime factorization of 12048 in exponential form is:

12048 = 2⁴ × 3¹ × 251¹

Step-2: Prime Factorization of 12056

Prime factors of 12056 are 2, 11, 137. Prime factorization of 12056 in exponential form is:

12056 = 2³ × 11¹ × 137¹

Step-3: Factors of 12048

List of positive integer factors of 12048 that divides 12048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 251, 502, 753, 1004, 1506, 2008, 3012, 4016, 6024

Step-4: Factors of 12056

List of positive integer factors of 12056 that divides 12048 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 137, 274, 548, 1096, 1507, 3014, 6028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12048 and 12056. The biggest common factor number is the GCF number.
So the greatest common factor 12048 and 12056 is 8.

Also check out the Least Common Multiple of 12048 and 12056