Greatest Common Factor of 3004 and 3012

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 3004, 3012 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3004 and 3012 is 4.

GCF(3004,3012) = 4

GCF of 3004 and 3012

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

GCF of:
and

Greatest Common Factor of 3004 and 3012

GCF of 3004 and 3012 is 4

Prime Factorization of 3004


2 3004
2 1502
751 751
1

Prime factors of 3004 are 2,751. Prime factorization of 3004 in exponential form is:

3004 = 22×7511

Prime Factorization of 3012


2 3012
2 1506
3 753
251 251
1

Prime factors of 3012 are 2,3,251. Prime factorization of 3012 in exponential form is:

3012 = 22×31×2511

∴ So by taking common prime factors GCF of 3004 and 3012 is 4

Greatest Common Factor of 3004 and 3012 by matching factors method

Factors of 3004

List of positive integer factors of 3004 that divides 3004 without a remainder.

1,2,4,751,1502,3004

Factors of 3012

List of positive integer factors of 3012 that divides 3012 without a remainder.

1,2,3,4,6,12,251,502,753,1004,1506,3012

Greatest Common Factor

We found the factors and prime factorization of 3004 and 3012. The biggest common factor number is the GCF number.
So the greatest common factor 3004 and 3012 is 4.

Also check out the Least Common Multiple of 3004 and 3012

Properties of GCF 3004 and 3012

(i) The GCF of 3004 and 3012 is associative

GCF of 3004 and 3012 = GCF of 3012 and 3004

Related Greatest Common Factor of 3004

Related Greatest Common Factor of 3012

Frequently Asked Questions on GCF of 3004 and 3012

1. What is the GCF of 3004 and 3012?

Answer: GCF of 3004 and 3012 is 4.

2. What are the Factors of 3004?

Answer: Factors of 3004 are 1, 2, 4, 751, 1502, 3004. There are 6 integers that are factors of 3004. The greatest factor of 3004 is 3004.

3. What are the Factors of 3012?

Answer: Factors of 3012 are 1, 2, 3, 4, 6, 12, 251, 502, 753, 1004, 1506, 3012. There are 12 integers that are factors of 3012. The greatest factor of 3012 is 3012.

4. How to Find the GCF of 3004 and 3012?

Answer:

Greatest Common Factor of 3004 and 3012 = 4

Step 1: Find the prime factorization of 3004

3004 = 2 x 2 x 751

Step 2: Find the prime factorization of 3012

3012 = 2 x 2 x 3 x 251

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 3004 and 3012 is 4