What is the Greatest Common Factor of 3003 and 3012?

Greatest common factor (GCF) of 3003 and 3012 is 3.

GCF(3003,3012) = 3

We will now calculate the prime factors of 3003 and 3012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3003 and 3012.

How to find the GCF of 3003 and 3012?

We will first find the prime factorization of 3003 and 3012. After we will calculate the factors of 3003 and 3012 and find the biggest common factor number .

Step-1: Prime Factorization of 3003

Prime factors of 3003 are 3, 7, 11, 13. Prime factorization of 3003 in exponential form is:

3003 = 3¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 3012

Prime factors of 3012 are 2, 3, 251. Prime factorization of 3012 in exponential form is:

3012 = 2² × 3¹ × 251¹

Step-3: Factors of 3003

List of positive integer factors of 3003 that divides 3003 without a remainder.

1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001

Step-4: Factors of 3012

List of positive integer factors of 3012 that divides 3003 without a remainder.

1, 2, 3, 4, 6, 12, 251, 502, 753, 1004, 1506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3003 and 3012. The biggest common factor number is the GCF number.
So the greatest common factor 3003 and 3012 is 3.

Also check out the Least Common Multiple of 3003 and 3012