Greatest Common Factor of 3087 and 3094

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, 3094 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3087 and 3094 is 7.

GCF(3087,3094) = 7

GCF of 3087 and 3094

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

GCF of:
and

Greatest Common Factor of 3087 and 3094

GCF of 3087 and 3094 is 7

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 3094


2 3094
7 1547
13 221
17 17
1

Prime factors of 3094 are 2,7,13,17. Prime factorization of 3094 in exponential form is:

3094 = 21×71×131×171

∴ So by taking common prime factors GCF of 3087 and 3094 is 7

Greatest Common Factor of 3087 and 3094 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 3094

List of positive integer factors of 3094 that divides 3094 without a remainder.

1,2,7,13,14,17,26,34,91,119,182,221,238,442,1547,3094

Greatest Common Factor

We found the factors and prime factorization of 3087 and 3094. The biggest common factor number is the GCF number.
So the greatest common factor 3087 and 3094 is 7.

Also check out the Least Common Multiple of 3087 and 3094

Properties of GCF 3087 and 3094

(i) The GCF of 3087 and 3094 is associative

GCF of 3087 and 3094 = GCF of 3094 and 3087

Related Greatest Common Factor of 3087

Related Greatest Common Factor of 3094

Frequently Asked Questions on GCF of 3087 and 3094

1. What is the GCF of 3087 and 3094?

Answer: GCF of 3087 and 3094 is 7.

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 3094?

Answer: Factors of 3094 are 1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 182, 221, 238, 442, 1547, 3094. There are 16 integers that are factors of 3094. The greatest factor of 3094 is 3094.

4. How to Find the GCF of 3087 and 3094?

Answer:

Greatest Common Factor of 3087 and 3094 = 7

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 3094

3094 = 2 x 7 x 13 x 17

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3087 and 3094 is 7