Greatest Common Factor of 7082 and 7090

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 7082, 7090 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7082 and 7090 is 2.

GCF(7082,7090) = 2

GCF of 7082 and 7090

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

GCF of:
and

Greatest Common Factor of 7082 and 7090

GCF of 7082 and 7090 is 2

Prime Factorization of 7082


2 7082
3541 3541
1

Prime factors of 7082 are 2,3541. Prime factorization of 7082 in exponential form is:

7082 = 21×35411

Prime Factorization of 7090


2 7090
5 3545
709 709
1

Prime factors of 7090 are 2,5,709. Prime factorization of 7090 in exponential form is:

7090 = 21×51×7091

∴ So by taking common prime factors GCF of 7082 and 7090 is 2

Greatest Common Factor of 7082 and 7090 by matching factors method

Factors of 7082

List of positive integer factors of 7082 that divides 7082 without a remainder.

1,2,3541,7082

Factors of 7090

List of positive integer factors of 7090 that divides 7090 without a remainder.

1,2,5,10,709,1418,3545,7090

Greatest Common Factor

We found the factors and prime factorization of 7082 and 7090. The biggest common factor number is the GCF number.
So the greatest common factor 7082 and 7090 is 2.

Also check out the Least Common Multiple of 7082 and 7090

Properties of GCF 7082 and 7090

(i) The GCF of 7082 and 7090 is associative

GCF of 7082 and 7090 = GCF of 7090 and 7082

Related Greatest Common Factor of 7082

Related Greatest Common Factor of 7090

Frequently Asked Questions on GCF of 7082 and 7090

1. What is the GCF of 7082 and 7090?

Answer: GCF of 7082 and 7090 is 2.

2. What are the Factors of 7082?

Answer: Factors of 7082 are 1, 2, 3541, 7082. There are 4 integers that are factors of 7082. The greatest factor of 7082 is 7082.

3. What are the Factors of 7090?

Answer: Factors of 7090 are 1, 2, 5, 10, 709, 1418, 3545, 7090. There are 8 integers that are factors of 7090. The greatest factor of 7090 is 7090.

4. How to Find the GCF of 7082 and 7090?

Answer:

Greatest Common Factor of 7082 and 7090 = 2

Step 1: Find the prime factorization of 7082

7082 = 2 x 3541

Step 2: Find the prime factorization of 7090

7090 = 2 x 5 x 709

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7082 and 7090 is 2