What is the Greatest Common Factor of 1998 and 2003?

Greatest common factor (GCF) of 1998 and 2003 is 1.

GCF(1998,2003) = 1

We will now calculate the prime factors of 1998 and 2003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1998 and 2003.

How to find the GCF of 1998 and 2003?

We will first find the prime factorization of 1998 and 2003. After we will calculate the factors of 1998 and 2003 and find the biggest common factor number .

Step-1: Prime Factorization of 1998

Prime factors of 1998 are 2, 3, 37. Prime factorization of 1998 in exponential form is:

1998 = 2¹ × 3³ × 37¹

Step-2: Prime Factorization of 2003

Prime factors of 2003 are 2003. Prime factorization of 2003 in exponential form is:

2003 = 2003¹

Step-3: Factors of 1998

List of positive integer factors of 1998 that divides 1998 without a remainder.

1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999

Step-4: Factors of 2003

List of positive integer factors of 2003 that divides 1998 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1998 and 2003. The biggest common factor number is the GCF number.
So the greatest common factor 1998 and 2003 is 1.

Also check out the Least Common Multiple of 1998 and 2003