What is the Greatest Common Factor of 11997 and 12003?

Greatest common factor (GCF) of 11997 and 12003 is 3.

GCF(11997,12003) = 3

We will now calculate the prime factors of 11997 and 12003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11997 and 12003.

How to find the GCF of 11997 and 12003?

We will first find the prime factorization of 11997 and 12003. After we will calculate the factors of 11997 and 12003 and find the biggest common factor number .

Step-1: Prime Factorization of 11997

Prime factors of 11997 are 3, 31, 43. Prime factorization of 11997 in exponential form is:

11997 = 3² × 31¹ × 43¹

Step-2: Prime Factorization of 12003

Prime factors of 12003 are 3, 4001. Prime factorization of 12003 in exponential form is:

12003 = 3¹ × 4001¹

Step-3: Factors of 11997

List of positive integer factors of 11997 that divides 11997 without a remainder.

1, 3, 9, 31, 43, 93, 129, 279, 387, 1333, 3999

Step-4: Factors of 12003

List of positive integer factors of 12003 that divides 11997 without a remainder.

1, 3, 4001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11997 and 12003. The biggest common factor number is the GCF number.
So the greatest common factor 11997 and 12003 is 3.

Also check out the Least Common Multiple of 11997 and 12003