Greatest Common Factor of 4003 and 4007

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 4003, 4007 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4003 and 4007 is 1.

GCF(4003,4007) = 1

GCF of 4003 and 4007

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

GCF of:
and

Greatest Common Factor of 4003 and 4007

GCF of 4003 and 4007 is 1

Prime Factorization of 4003


4003 4003
1

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

4003 = 40031

Prime Factorization of 4007


4007 4007
1

Prime factors of 4007 are 4007.Prime factorization of 4007 in exponential form is:

4007 = 40071

∴ So by taking common prime factors GCF of 4003 and 4007 is 1

Greatest Common Factor of 4003 and 4007 by matching factors method

Factors of 4003

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

1,4003

Factors of 4007

List of positive integer factors of 4007 that divides 4007 without a remainder.

1,4007

Greatest Common Factor

We found the factors and prime factorization of 4003 and 4007. The biggest common factor number is the GCF number.
So the greatest common factor 4003 and 4007 is 1.

Also check out the Least Common Multiple of 4003 and 4007

Properties of GCF 4003 and 4007

(i) The GCF of 4003 and 4007 is associative

GCF of 4003 and 4007 = GCF of 4007 and 4003

Related Greatest Common Factor of 4003

Related Greatest Common Factor of 4007

Frequently Asked Questions on GCF of 4003 and 4007

1. What is the GCF of 4003 and 4007?

Answer: GCF of 4003 and 4007 is 1.

2. 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.

3. What are the Factors of 4007?

Answer: Factors of 4007 are 1, 4007. There are 2 integers that are factors of 4007. The greatest factor of 4007 is 4007.

4. How to Find the GCF of 4003 and 4007?

Answer:

Greatest Common Factor of 4003 and 4007 = 1

Step 1: Find the prime factorization of 4003

4003 = 4003

Step 2: Find the prime factorization of 4007

4007 = 4007

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 4003 and 4007 is 1