Greatest Common Factor of 3087 and 3093

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 3087, 3093 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3087 and 3093 is 3.

GCF(3087,3093) = 3

GCF of 3087 and 3093

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

GCF of:
and

Greatest Common Factor of 3087 and 3093

GCF of 3087 and 3093 is 3

Prime Factorization of 3087


3 3087
3 1029
7 343
7 49
7 7
1

Prime factors of 3087 are 3,7. Prime factorization of 3087 in exponential form is:

3087 = 32×73

Prime Factorization of 3093


3 3093
1031 1031
1

Prime factors of 3093 are 3,1031. Prime factorization of 3093 in exponential form is:

3093 = 31×10311

∴ So by taking common prime factors GCF of 3087 and 3093 is 3

Greatest Common Factor of 3087 and 3093 by matching factors method

Factors of 3087

List of positive integer factors of 3087 that divides 3087 without a remainder.

1,3,7,9,21,49,63,147,343,441,1029,3087

Factors of 3093

List of positive integer factors of 3093 that divides 3093 without a remainder.

1,3,1031,3093

Greatest Common Factor

We found the factors and prime factorization of 3087 and 3093. The biggest common factor number is the GCF number.
So the greatest common factor 3087 and 3093 is 3.

Also check out the Least Common Multiple of 3087 and 3093

Properties of GCF 3087 and 3093

(i) The GCF of 3087 and 3093 is associative

GCF of 3087 and 3093 = GCF of 3093 and 3087

Related Greatest Common Factor of 3087

Related Greatest Common Factor of 3093

Frequently Asked Questions on GCF of 3087 and 3093

1. What is the GCF of 3087 and 3093?

Answer: GCF of 3087 and 3093 is 3.

2. What are the Factors of 3087?

Answer: Factors of 3087 are 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087. There are 12 integers that are factors of 3087. The greatest factor of 3087 is 3087.

3. What are the Factors of 3093?

Answer: Factors of 3093 are 1, 3, 1031, 3093. There are 4 integers that are factors of 3093. The greatest factor of 3093 is 3093.

4. How to Find the GCF of 3087 and 3093?

Answer:

Greatest Common Factor of 3087 and 3093 = 3

Step 1: Find the prime factorization of 3087

3087 = 3 x 3 x 7 x 7 x 7

Step 2: Find the prime factorization of 3093

3093 = 3 x 1031

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 3087 and 3093 is 3