Greatest Common Factor of 4007 and 4008

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 4007, 4008 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4007 and 4008 is 1.

GCF(4007,4008) = 1

GCF of 4007 and 4008

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

GCF of:
and

Greatest Common Factor of 4007 and 4008

GCF of 4007 and 4008 is 1

Prime Factorization of 4007


4007 4007
1

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

4007 = 40071

Prime Factorization of 4008


2 4008
2 2004
2 1002
3 501
167 167
1

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

4008 = 23×31×1671

∴ So by taking common prime factors GCF of 4007 and 4008 is 1

Greatest Common Factor of 4007 and 4008 by matching factors method

Factors of 4007

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

1,4007

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

Greatest Common Factor

We found the factors and prime factorization of 4007 and 4008. The biggest common factor number is the GCF number.
So the greatest common factor 4007 and 4008 is 1.

Also check out the Least Common Multiple of 4007 and 4008

Properties of GCF 4007 and 4008

(i) The GCF of 4007 and 4008 is associative

GCF of 4007 and 4008 = GCF of 4008 and 4007

Related Greatest Common Factor of 4007

Related Greatest Common Factor of 4008

Frequently Asked Questions on GCF of 4007 and 4008

1. What is the GCF of 4007 and 4008?

Answer: GCF of 4007 and 4008 is 1.

2. 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.

3. 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.

4. How to Find the GCF of 4007 and 4008?

Answer:

Greatest Common Factor of 4007 and 4008 = 1

Step 1: Find the prime factorization of 4007

4007 = 4007

Step 2: Find the prime factorization of 4008

4008 = 2 x 2 x 2 x 3 x 167

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 4007 and 4008 is 1