Greatest Common Factor of 3087 and 3091

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, 3091 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3087 and 3091 is 1.

GCF(3087,3091) = 1

GCF of 3087 and 3091

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

GCF of:
and

Greatest Common Factor of 3087 and 3091

GCF of 3087 and 3091 is 1

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 3091


11 3091
281 281
1

Prime factors of 3091 are 11,281. Prime factorization of 3091 in exponential form is:

3091 = 111×2811

∴ So by taking common prime factors GCF of 3087 and 3091 is 1

Greatest Common Factor of 3087 and 3091 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 3091

List of positive integer factors of 3091 that divides 3091 without a remainder.

1,11,281,3091

Greatest Common Factor

We found the factors and prime factorization of 3087 and 3091. The biggest common factor number is the GCF number.
So the greatest common factor 3087 and 3091 is 1.

Also check out the Least Common Multiple of 3087 and 3091

Properties of GCF 3087 and 3091

(i) The GCF of 3087 and 3091 is associative

GCF of 3087 and 3091 = GCF of 3091 and 3087

Related Greatest Common Factor of 3087

Related Greatest Common Factor of 3091

Frequently Asked Questions on GCF of 3087 and 3091

1. What is the GCF of 3087 and 3091?

Answer: GCF of 3087 and 3091 is 1.

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 3091?

Answer: Factors of 3091 are 1, 11, 281, 3091. There are 4 integers that are factors of 3091. The greatest factor of 3091 is 3091.

4. How to Find the GCF of 3087 and 3091?

Answer:

Greatest Common Factor of 3087 and 3091 = 1

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 3091

3091 = 11 x 281

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 3087 and 3091 is 1