Greatest Common Factor of 3075 and 3082

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 3075, 3082 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3075 and 3082 is 1.

GCF(3075,3082) = 1

GCF of 3075 and 3082

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

GCF of:
and

Greatest Common Factor of 3075 and 3082

GCF of 3075 and 3082 is 1

Prime Factorization of 3075


3 3075
5 1025
5 205
41 41
1

Prime factors of 3075 are 3,5,41. Prime factorization of 3075 in exponential form is:

3075 = 31×52×411

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

∴ So by taking common prime factors GCF of 3075 and 3082 is 1

Greatest Common Factor of 3075 and 3082 by matching factors method

Factors of 3075

List of positive integer factors of 3075 that divides 3075 without a remainder.

1,3,5,15,25,41,75,123,205,615,1025,3075

Factors of 3082

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

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

Greatest Common Factor

We found the factors and prime factorization of 3075 and 3082. The biggest common factor number is the GCF number.
So the greatest common factor 3075 and 3082 is 1.

Also check out the Least Common Multiple of 3075 and 3082

Properties of GCF 3075 and 3082

(i) The GCF of 3075 and 3082 is associative

GCF of 3075 and 3082 = GCF of 3082 and 3075

Related Greatest Common Factor of 3075

Related Greatest Common Factor of 3082

Frequently Asked Questions on GCF of 3075 and 3082

1. What is the GCF of 3075 and 3082?

Answer: GCF of 3075 and 3082 is 1.

2. What are the Factors of 3075?

Answer: Factors of 3075 are 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025, 3075. There are 12 integers that are factors of 3075. The greatest factor of 3075 is 3075.

3. 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.

4. How to Find the GCF of 3075 and 3082?

Answer:

Greatest Common Factor of 3075 and 3082 = 1

Step 1: Find the prime factorization of 3075

3075 = 3 x 5 x 5 x 41

Step 2: Find the prime factorization of 3082

3082 = 2 x 23 x 67

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 3075 and 3082 is 1