Greatest Common Factor of 6008 and 6012

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 6008, 6012 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6008 and 6012 is 4.

GCF(6008,6012) = 4

GCF of 6008 and 6012

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

GCF of:
and

Greatest Common Factor of 6008 and 6012

GCF of 6008 and 6012 is 4

Prime Factorization of 6008


2 6008
2 3004
2 1502
751 751
1

Prime factors of 6008 are 2,751. Prime factorization of 6008 in exponential form is:

6008 = 23×7511

Prime Factorization of 6012


2 6012
2 3006
3 1503
3 501
167 167
1

Prime factors of 6012 are 2,3,167. Prime factorization of 6012 in exponential form is:

6012 = 22×32×1671

∴ So by taking common prime factors GCF of 6008 and 6012 is 4

Greatest Common Factor of 6008 and 6012 by matching factors method

Factors of 6008

List of positive integer factors of 6008 that divides 6008 without a remainder.

1,2,4,8,751,1502,3004,6008

Factors of 6012

List of positive integer factors of 6012 that divides 6012 without a remainder.

1,2,3,4,6,9,12,18,36,167,334,501,668,1002,1503,2004,3006,6012

Greatest Common Factor

We found the factors and prime factorization of 6008 and 6012. The biggest common factor number is the GCF number.
So the greatest common factor 6008 and 6012 is 4.

Also check out the Least Common Multiple of 6008 and 6012

Properties of GCF 6008 and 6012

(i) The GCF of 6008 and 6012 is associative

GCF of 6008 and 6012 = GCF of 6012 and 6008

Related Greatest Common Factor of 6008

Related Greatest Common Factor of 6012

Frequently Asked Questions on GCF of 6008 and 6012

1. What is the GCF of 6008 and 6012?

Answer: GCF of 6008 and 6012 is 4.

2. What are the Factors of 6008?

Answer: Factors of 6008 are 1, 2, 4, 8, 751, 1502, 3004, 6008. There are 8 integers that are factors of 6008. The greatest factor of 6008 is 6008.

3. What are the Factors of 6012?

Answer: Factors of 6012 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 167, 334, 501, 668, 1002, 1503, 2004, 3006, 6012. There are 18 integers that are factors of 6012. The greatest factor of 6012 is 6012.

4. How to Find the GCF of 6008 and 6012?

Answer:

Greatest Common Factor of 6008 and 6012 = 4

Step 1: Find the prime factorization of 6008

6008 = 2 x 2 x 2 x 751

Step 2: Find the prime factorization of 6012

6012 = 2 x 2 x 3 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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6008 and 6012 is 4