What is the Greatest Common Factor of 12048 and 12055?

Greatest common factor (GCF) of 12048 and 12055 is 1.

GCF(12048,12055) = 1

We will now calculate the prime factors of 12048 and 12055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12048 and 12055.

How to find the GCF of 12048 and 12055?

We will first find the prime factorization of 12048 and 12055. After we will calculate the factors of 12048 and 12055 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 12055

Prime factors of 12055 are 5, 2411. Prime factorization of 12055 in exponential form is:

12055 = 5¹ × 2411¹

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 12055

List of positive integer factors of 12055 that divides 12048 without a remainder.

1, 5, 2411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12048 and 12055. The biggest common factor number is the GCF number.
So the greatest common factor 12048 and 12055 is 1.

Also check out the Least Common Multiple of 12048 and 12055