Greatest Common Factor of 3082 and 3089

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, 3089 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3082 and 3089 is 1.

GCF(3082,3089) = 1

GCF of 3082 and 3089

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

GCF of:
and

Greatest Common Factor of 3082 and 3089

GCF of 3082 and 3089 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 3089


3089 3089
1

Prime factors of 3089 are 3089. Prime factorization of 3089 in exponential form is:

3089 = 30891

∴ So by taking common prime factors GCF of 3082 and 3089 is 1

Greatest Common Factor of 3082 and 3089 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 3089

List of positive integer factors of 3089 that divides 3089 without a remainder.

1,3089

Greatest Common Factor

We found the factors and prime factorization of 3082 and 3089. The biggest common factor number is the GCF number.
So the greatest common factor 3082 and 3089 is 1.

Also check out the Least Common Multiple of 3082 and 3089

Properties of GCF 3082 and 3089

(i) The GCF of 3082 and 3089 is associative

GCF of 3082 and 3089 = GCF of 3089 and 3082

Related Greatest Common Factor of 3082

Related Greatest Common Factor of 3089

Frequently Asked Questions on GCF of 3082 and 3089

1. What is the GCF of 3082 and 3089?

Answer: GCF of 3082 and 3089 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 3089?

Answer: Factors of 3089 are 1, 3089. There are 2 integers that are factors of 3089. The greatest factor of 3089 is 3089.

4. How to Find the GCF of 3082 and 3089?

Answer:

Greatest Common Factor of 3082 and 3089 = 1

Step 1: Find the prime factorization of 3082

3082 = 2 x 23 x 67

Step 2: Find the prime factorization of 3089

3089 = 3089

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 3089 is 1