Greatest Common Factor of 4001 and 4004

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 4001, 4004 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4001 and 4004 is 1.

GCF(4001,4004) = 1

GCF of 4001 and 4004

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

GCF of:
and

Greatest Common Factor of 4001 and 4004

GCF of 4001 and 4004 is 1

Prime Factorization of 4001


4001 4001
1

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

4001 = 40011

Prime Factorization of 4004


2 4004
2 2002
7 1001
11 143
13 13
1

Prime factors of 4004 are 2.Prime factorization of 4004 in exponential form is:

4004 = 22×71×111×131

∴ So by taking common prime factors GCF of 4001 and 4004 is 1

Greatest Common Factor of 4001 and 4004 by matching factors method

Factors of 4001

List of positive integer factors of 4001 that divides 4001 without a remainder.

1,4001

Factors of 4004

List of positive integer factors of 4004 that divides 4004 without a remainder.

1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004

Greatest Common Factor

We found the factors and prime factorization of 4001 and 4004. The biggest common factor number is the GCF number.
So the greatest common factor 4001 and 4004 is 1.

Also check out the Least Common Multiple of 4001 and 4004

Properties of GCF 4001 and 4004

(i) The GCF of 4001 and 4004 is associative

GCF of 4001 and 4004 = GCF of 4004 and 4001

Related Greatest Common Factor of 4001

Related Greatest Common Factor of 4004

Frequently Asked Questions on GCF of 4001 and 4004

1. What is the GCF of 4001 and 4004?

Answer: GCF of 4001 and 4004 is 1.

2. What are the Factors of 4001?

Answer: Factors of 4001 are 1, 4001. There are 2 integers that are factors of 4001. The greatest factor of 4001 is 4001.

3. What are the Factors of 4004?

Answer: Factors of 4004 are 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004. There are 24 integers that are factors of 4004. The greatest factor of 4004 is 4004.

4. How to Find the GCF of 4001 and 4004?

Answer:

Greatest Common Factor of 4001 and 4004 = 1

Step 1: Find the prime factorization of 4001

4001 = 4001

Step 2: Find the prime factorization of 4004

4004 = 2 x 2 x 7 x 11 x 13

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 4001 and 4004 is 1