Greatest Common Factor of 1999 and 2003

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

• Greatest Common Factor of 1999 and 2003 by prime factorization method
• Greatest Common Factor of 1999 and 2003 by matching factors method

Prime Factorization of 1999

Prime factors of 1999 are 1999. Prime factorization of 1999 in exponential form is:

1999 = 1999¹

Prime Factorization of 2003

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

2003 = 2003¹

∴ So by taking common prime factors GCF of 1999 and 2003 is 1

Factors of 1999

List of positive integer factors of 1999 that divides 1999 without a remainder.

1,1999

Factors of 2003

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

1,2003

Greatest Common Factor

We found the factors and prime factorization of 1999 and 2003. The biggest common factor number is the GCF number.
So the greatest common factor 1999 and 2003 is 1.

Also check out the Least Common Multiple of 1999 and 2003

(i) The GCF of 1999 and 2003 is associative

GCF of 1999 and 2003 = GCF of 2003 and 1999

1. What is the GCF of 1999 and 2003?

Answer: GCF of 1999 and 2003 is 1.

2. What are the Factors of 1999?

Answer: Factors of 1999 are 1, 1999. There are 2 integers that are factors of 1999. The greatest factor of 1999 is 1999.

3. What are the Factors of 2003?

Answer: Factors of 2003 are 1, 2003. There are 2 integers that are factors of 2003. The greatest factor of 2003 is 2003.

4. How to Find the GCF of 1999 and 2003?

Answer:

Greatest Common Factor of 1999 and 2003 = 1

Step 1: Find the prime factorization of 1999

1999 = 1999

Step 2: Find the prime factorization of 2003

2003 = 2003

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 1999 and 2003 is 1