Greatest Common Factor of 4008 and 4012

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, 4012 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4008 and 4012 is 4.

GCF(4008,4012) = 4

GCF of 4008 and 4012

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

GCF of:
and

Greatest Common Factor of 4008 and 4012

GCF of 4008 and 4012 is 4

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 4012


2 4012
2 2006
17 1003
59 59
1

Prime factors of 4012 are 2,17,59. Prime factorization of 4012 in exponential form is:

4012 = 22×171×591

∴ So by taking common prime factors GCF of 4008 and 4012 is 4

Greatest Common Factor of 4008 and 4012 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 4012

List of positive integer factors of 4012 that divides 4012 without a remainder.

1,2,4,17,34,59,68,118,236,1003,2006,4012

Greatest Common Factor

We found the factors and prime factorization of 4008 and 4012. The biggest common factor number is the GCF number.
So the greatest common factor 4008 and 4012 is 4.

Also check out the Least Common Multiple of 4008 and 4012

Properties of GCF 4008 and 4012

(i) The GCF of 4008 and 4012 is associative

GCF of 4008 and 4012 = GCF of 4012 and 4008

Related Greatest Common Factor of 4008

Related Greatest Common Factor of 4012

Frequently Asked Questions on GCF of 4008 and 4012

1. What is the GCF of 4008 and 4012?

Answer: GCF of 4008 and 4012 is 4.

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 4012?

Answer: Factors of 4012 are 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012. There are 12 integers that are factors of 4012. The greatest factor of 4012 is 4012.

4. How to Find the GCF of 4008 and 4012?

Answer:

Greatest Common Factor of 4008 and 4012 = 4

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 4012

4012 = 2 x 2 x 17 x 59

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4008 and 4012 is 4