What is the Greatest Common Factor of 12033 and 12048?

Greatest common factor (GCF) of 12033 and 12048 is 3.

GCF(12033,12048) = 3

We will now calculate the prime factors of 12033 and 12048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12033 and 12048.

How to find the GCF of 12033 and 12048?

We will first find the prime factorization of 12033 and 12048. After we will calculate the factors of 12033 and 12048 and find the biggest common factor number .

Step-1: Prime Factorization of 12033

Prime factors of 12033 are 3, 7, 191. Prime factorization of 12033 in exponential form is:

12033 = 3² × 7¹ × 191¹

Step-2: 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-3: Factors of 12033

List of positive integer factors of 12033 that divides 12033 without a remainder.

1, 3, 7, 9, 21, 63, 191, 573, 1337, 1719, 4011

Step-4: Factors of 12048

List of positive integer factors of 12048 that divides 12033 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12033 and 12048. The biggest common factor number is the GCF number.
So the greatest common factor 12033 and 12048 is 3.

Also check out the Least Common Multiple of 12033 and 12048