Greatest Common Factor of 39009 and 39012

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 39009, 39012 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39009 and 39012 is 3.

GCF(39009,39012) = 3

GCF of 39009 and 39012

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

GCF of:
and

Greatest Common Factor of 39009 and 39012

GCF of 39009 and 39012 is 3

Prime Factorization of 39009


3 39009
13003 13003
1

Prime factors of 39009 are 3,13003. Prime factorization of 39009 in exponential form is:

39009 = 31×130031

Prime Factorization of 39012


2 39012
2 19506
3 9753
3251 3251
1

Prime factors of 39012 are 2,3,3251. Prime factorization of 39012 in exponential form is:

39012 = 22×31×32511

∴ So by taking common prime factors GCF of 39009 and 39012 is 3

Greatest Common Factor of 39009 and 39012 by matching factors method

Factors of 39009

List of positive integer factors of 39009 that divides 39009 without a remainder.

1,3,13003,39009

Factors of 39012

List of positive integer factors of 39012 that divides 39012 without a remainder.

1,2,3,4,6,12,3251,6502,9753,13004,19506,39012

Greatest Common Factor

We found the factors and prime factorization of 39009 and 39012. The biggest common factor number is the GCF number.
So the greatest common factor 39009 and 39012 is 3.

Also check out the Least Common Multiple of 39009 and 39012

Properties of GCF 39009 and 39012

(i) The GCF of 39009 and 39012 is associative

GCF of 39009 and 39012 = GCF of 39012 and 39009

Related Greatest Common Factor of 39009

Related Greatest Common Factor of 39012

Frequently Asked Questions on GCF of 39009 and 39012

1. What is the GCF of 39009 and 39012?

Answer: GCF of 39009 and 39012 is 3.

2. What are the Factors of 39009?

Answer: Factors of 39009 are 1, 3, 13003, 39009. There are 4 integers that are factors of 39009. The greatest factor of 39009 is 39009.

3. What are the Factors of 39012?

Answer: Factors of 39012 are 1, 2, 3, 4, 6, 12, 3251, 6502, 9753, 13004, 19506, 39012. There are 12 integers that are factors of 39012. The greatest factor of 39012 is 39012.

4. How to Find the GCF of 39009 and 39012?

Answer:

Greatest Common Factor of 39009 and 39012 = 3

Step 1: Find the prime factorization of 39009

39009 = 3 x 13003

Step 2: Find the prime factorization of 39012

39012 = 2 x 2 x 3 x 3251

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

GCF = 3

Step 4: Therefore, the greatest common factor of 39009 and 39012 is 3