Greatest Common Factor of 3009 and 3016

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, 3016 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3009 and 3016 is 1.

GCF(3009,3016) = 1

GCF of 3009 and 3016

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

GCF of:
and

Greatest Common Factor of 3009 and 3016

GCF of 3009 and 3016 is 1

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 3016


2 3016
2 1508
2 754
13 377
29 29
1

Prime factors of 3016 are 2,13,29. Prime factorization of 3016 in exponential form is:

3016 = 23×131×291

∴ So by taking common prime factors GCF of 3009 and 3016 is 1

Greatest Common Factor of 3009 and 3016 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 3016

List of positive integer factors of 3016 that divides 3016 without a remainder.

1,2,4,8,13,26,29,52,58,104,116,232,377,754,1508,3016

Greatest Common Factor

We found the factors and prime factorization of 3009 and 3016. The biggest common factor number is the GCF number.
So the greatest common factor 3009 and 3016 is 1.

Also check out the Least Common Multiple of 3009 and 3016

Properties of GCF 3009 and 3016

(i) The GCF of 3009 and 3016 is associative

GCF of 3009 and 3016 = GCF of 3016 and 3009

Related Greatest Common Factor of 3009

Related Greatest Common Factor of 3016

Frequently Asked Questions on GCF of 3009 and 3016

1. What is the GCF of 3009 and 3016?

Answer: GCF of 3009 and 3016 is 1.

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 3016?

Answer: Factors of 3016 are 1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 232, 377, 754, 1508, 3016. There are 16 integers that are factors of 3016. The greatest factor of 3016 is 3016.

4. How to Find the GCF of 3009 and 3016?

Answer:

Greatest Common Factor of 3009 and 3016 = 1

Step 1: Find the prime factorization of 3009

3009 = 3 x 17 x 59

Step 2: Find the prime factorization of 3016

3016 = 2 x 2 x 2 x 13 x 29

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3009 and 3016 is 1