Greatest Common Factor of 8782 and 8790

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 8782, 8790 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8782 and 8790 is 2.

GCF(8782,8790) = 2

GCF of 8782 and 8790

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

GCF of:
and

Greatest Common Factor of 8782 and 8790

GCF of 8782 and 8790 is 2

Prime Factorization of 8782


2 8782
4391 4391
1

Prime factors of 8782 are 2,4391. Prime factorization of 8782 in exponential form is:

8782 = 21×43911

Prime Factorization of 8790


2 8790
3 4395
5 1465
293 293
1

Prime factors of 8790 are 2,3,5,293. Prime factorization of 8790 in exponential form is:

8790 = 21×31×51×2931

∴ So by taking common prime factors GCF of 8782 and 8790 is 2

Greatest Common Factor of 8782 and 8790 by matching factors method

Factors of 8782

List of positive integer factors of 8782 that divides 8782 without a remainder.

1,2,4391,8782

Factors of 8790

List of positive integer factors of 8790 that divides 8790 without a remainder.

1,2,3,5,6,10,15,30,293,586,879,1465,1758,2930,4395,8790

Greatest Common Factor

We found the factors and prime factorization of 8782 and 8790. The biggest common factor number is the GCF number.
So the greatest common factor 8782 and 8790 is 2.

Also check out the Least Common Multiple of 8782 and 8790

Properties of GCF 8782 and 8790

(i) The GCF of 8782 and 8790 is associative

GCF of 8782 and 8790 = GCF of 8790 and 8782

Related Greatest Common Factor of 8782

Related Greatest Common Factor of 8790

Frequently Asked Questions on GCF of 8782 and 8790

1. What is the GCF of 8782 and 8790?

Answer: GCF of 8782 and 8790 is 2.

2. What are the Factors of 8782?

Answer: Factors of 8782 are 1, 2, 4391, 8782. There are 4 integers that are factors of 8782. The greatest factor of 8782 is 8782.

3. What are the Factors of 8790?

Answer: Factors of 8790 are 1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395, 8790. There are 16 integers that are factors of 8790. The greatest factor of 8790 is 8790.

4. How to Find the GCF of 8782 and 8790?

Answer:

Greatest Common Factor of 8782 and 8790 = 2

Step 1: Find the prime factorization of 8782

8782 = 2 x 4391

Step 2: Find the prime factorization of 8790

8790 = 2 x 3 x 5 x 293

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 8782 and 8790 is 2