Greatest Common Factor of 4008 and 4013

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 4008, 4013 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4008 and 4013 is 1.

GCF(4008,4013) = 1

GCF of 4008 and 4013

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

GCF of:
and

Greatest Common Factor of 4008 and 4013

GCF of 4008 and 4013 is 1

Prime Factorization of 4008


2 4008
2 2004
2 1002
3 501
167 167
1

Prime factors of 4008 are 2,3,167. Prime factorization of 4008 in exponential form is:

4008 = 23×31×1671

Prime Factorization of 4013


4013 4013
1

Prime factors of 4013 are 4013. Prime factorization of 4013 in exponential form is:

4013 = 40131

∴ So by taking common prime factors GCF of 4008 and 4013 is 1

Greatest Common Factor of 4008 and 4013 by matching factors method

Factors of 4008

List of positive integer factors of 4008 that divides 4008 without a remainder.

1,2,3,4,6,8,12,24,167,334,501,668,1002,1336,2004,4008

Factors of 4013

List of positive integer factors of 4013 that divides 4013 without a remainder.

1,4013

Greatest Common Factor

We found the factors and prime factorization of 4008 and 4013. The biggest common factor number is the GCF number.
So the greatest common factor 4008 and 4013 is 1.

Also check out the Least Common Multiple of 4008 and 4013

Properties of GCF 4008 and 4013

(i) The GCF of 4008 and 4013 is associative

GCF of 4008 and 4013 = GCF of 4013 and 4008

Related Greatest Common Factor of 4008

Related Greatest Common Factor of 4013

Frequently Asked Questions on GCF of 4008 and 4013

1. What is the GCF of 4008 and 4013?

Answer: GCF of 4008 and 4013 is 1.

2. What are the Factors of 4008?

Answer: Factors of 4008 are 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004, 4008. There are 16 integers that are factors of 4008. The greatest factor of 4008 is 4008.

3. What are the Factors of 4013?

Answer: Factors of 4013 are 1, 4013. There are 2 integers that are factors of 4013. The greatest factor of 4013 is 4013.

4. How to Find the GCF of 4008 and 4013?

Answer:

Greatest Common Factor of 4008 and 4013 = 1

Step 1: Find the prime factorization of 4008

4008 = 2 x 2 x 2 x 3 x 167

Step 2: Find the prime factorization of 4013

4013 = 4013

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 4008 and 4013 is 1