Greatest Common Factor of 3082 and 3087

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 3082, 3087 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3082 and 3087 is 1.

GCF(3082,3087) = 1

GCF of 3082 and 3087

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

GCF of:
and

Greatest Common Factor of 3082 and 3087

GCF of 3082 and 3087 is 1

Prime Factorization of 3082


2 3082
23 1541
67 67
1

Prime factors of 3082 are 2,23,67. Prime factorization of 3082 in exponential form is:

3082 = 21×231×671

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

∴ So by taking common prime factors GCF of 3082 and 3087 is 1

Greatest Common Factor of 3082 and 3087 by matching factors method

Factors of 3082

List of positive integer factors of 3082 that divides 3082 without a remainder.

1,2,23,46,67,134,1541,3082

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

Greatest Common Factor

We found the factors and prime factorization of 3082 and 3087. The biggest common factor number is the GCF number.
So the greatest common factor 3082 and 3087 is 1.

Also check out the Least Common Multiple of 3082 and 3087

Properties of GCF 3082 and 3087

(i) The GCF of 3082 and 3087 is associative

GCF of 3082 and 3087 = GCF of 3087 and 3082

Related Greatest Common Factor of 3082

Related Greatest Common Factor of 3087

Frequently Asked Questions on GCF of 3082 and 3087

1. What is the GCF of 3082 and 3087?

Answer: GCF of 3082 and 3087 is 1.

2. What are the Factors of 3082?

Answer: Factors of 3082 are 1, 2, 23, 46, 67, 134, 1541, 3082. There are 8 integers that are factors of 3082. The greatest factor of 3082 is 3082.

3. 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.

4. How to Find the GCF of 3082 and 3087?

Answer:

Greatest Common Factor of 3082 and 3087 = 1

Step 1: Find the prime factorization of 3082

3082 = 2 x 23 x 67

Step 2: Find the prime factorization of 3087

3087 = 3 x 3 x 7 x 7 x 7

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 3082 and 3087 is 1