Greatest Common Factor of 3009 and 3015

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 3009, 3015 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3009 and 3015 is 3.

GCF(3009,3015) = 3

GCF of 3009 and 3015

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

GCF of:
and

Greatest Common Factor of 3009 and 3015

GCF of 3009 and 3015 is 3

Prime Factorization of 3009


3 3009
17 1003
59 59
1

Prime factors of 3009 are 3,17,59. Prime factorization of 3009 in exponential form is:

3009 = 31×171×591

Prime Factorization of 3015


3 3015
3 1005
5 335
67 67
1

Prime factors of 3015 are 3,5,67. Prime factorization of 3015 in exponential form is:

3015 = 32×51×671

∴ So by taking common prime factors GCF of 3009 and 3015 is 3

Greatest Common Factor of 3009 and 3015 by matching factors method

Factors of 3009

List of positive integer factors of 3009 that divides 3009 without a remainder.

1,3,17,51,59,177,1003,3009

Factors of 3015

List of positive integer factors of 3015 that divides 3015 without a remainder.

1,3,5,9,15,45,67,201,335,603,1005,3015

Greatest Common Factor

We found the factors and prime factorization of 3009 and 3015. The biggest common factor number is the GCF number.
So the greatest common factor 3009 and 3015 is 3.

Also check out the Least Common Multiple of 3009 and 3015

Properties of GCF 3009 and 3015

(i) The GCF of 3009 and 3015 is associative

GCF of 3009 and 3015 = GCF of 3015 and 3009

Related Greatest Common Factor of 3009

Related Greatest Common Factor of 3015

Frequently Asked Questions on GCF of 3009 and 3015

1. What is the GCF of 3009 and 3015?

Answer: GCF of 3009 and 3015 is 3.

2. What are the Factors of 3009?

Answer: Factors of 3009 are 1, 3, 17, 51, 59, 177, 1003, 3009. There are 8 integers that are factors of 3009. The greatest factor of 3009 is 3009.

3. What are the Factors of 3015?

Answer: Factors of 3015 are 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015. There are 12 integers that are factors of 3015. The greatest factor of 3015 is 3015.

4. How to Find the GCF of 3009 and 3015?

Answer:

Greatest Common Factor of 3009 and 3015 = 3

Step 1: Find the prime factorization of 3009

3009 = 3 x 17 x 59

Step 2: Find the prime factorization of 3015

3015 = 3 x 3 x 5 x 67

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 3009 and 3015 is 3