Greatest Common Factor of 3998 and 4003

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3998, 4003 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3998 and 4003 is 1.

GCF(3998,4003) = 1

GCF of 3998 and 4003

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

GCF of:
and

Greatest Common Factor of 3998 and 4003

GCF of 3998 and 4003 is 1

Prime Factorization of 3998


2 3998
1999 1999
1

Prime factors of 3998 are 2,1999. Prime factorization of 3998 in exponential form is:

3998 = 21×19991

Prime Factorization of 4003


4003 4003
1

Prime factors of 4003 are 4003. Prime factorization of 4003 in exponential form is:

4003 = 40031

∴ So by taking common prime factors GCF of 3998 and 4003 is 1

Greatest Common Factor of 3998 and 4003 by matching factors method

Factors of 3998

List of positive integer factors of 3998 that divides 3998 without a remainder.

1,2,1999,3998

Factors of 4003

List of positive integer factors of 4003 that divides 4003 without a remainder.

1,4003

Greatest Common Factor

We found the factors and prime factorization of 3998 and 4003. The biggest common factor number is the GCF number.
So the greatest common factor 3998 and 4003 is 1.

Also check out the Least Common Multiple of 3998 and 4003

Properties of GCF 3998 and 4003

(i) The GCF of 3998 and 4003 is associative

GCF of 3998 and 4003 = GCF of 4003 and 3998

Related Greatest Common Factor of 3998

Related Greatest Common Factor of 4003

Frequently Asked Questions on GCF of 3998 and 4003

1. What is the GCF of 3998 and 4003?

Answer: GCF of 3998 and 4003 is 1.

2. What are the Factors of 3998?

Answer: Factors of 3998 are 1, 2, 1999, 3998. There are 4 integers that are factors of 3998. The greatest factor of 3998 is 3998.

3. What are the Factors of 4003?

Answer: Factors of 4003 are 1, 4003. There are 2 integers that are factors of 4003. The greatest factor of 4003 is 4003.

4. How to Find the GCF of 3998 and 4003?

Answer:

Greatest Common Factor of 3998 and 4003 = 1

Step 1: Find the prime factorization of 3998

3998 = 2 x 1999

Step 2: Find the prime factorization of 4003

4003 = 4003

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 3998 and 4003 is 1