Greatest Common Factor of 8782 and 8788

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, 8788 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8782 and 8788 is 2.

GCF(8782,8788) = 2

GCF of 8782 and 8788

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

GCF of:
and

Greatest Common Factor of 8782 and 8788

GCF of 8782 and 8788 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 8788


2 8788
2 4394
13 2197
13 169
13 13
1

Prime factors of 8788 are 2,13. Prime factorization of 8788 in exponential form is:

8788 = 22×133

∴ So by taking common prime factors GCF of 8782 and 8788 is 2

Greatest Common Factor of 8782 and 8788 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 8788

List of positive integer factors of 8788 that divides 8788 without a remainder.

1,2,4,13,26,52,169,338,676,2197,4394,8788

Greatest Common Factor

We found the factors and prime factorization of 8782 and 8788. The biggest common factor number is the GCF number.
So the greatest common factor 8782 and 8788 is 2.

Also check out the Least Common Multiple of 8782 and 8788

Properties of GCF 8782 and 8788

(i) The GCF of 8782 and 8788 is associative

GCF of 8782 and 8788 = GCF of 8788 and 8782

Related Greatest Common Factor of 8782

Related Greatest Common Factor of 8788

Frequently Asked Questions on GCF of 8782 and 8788

1. What is the GCF of 8782 and 8788?

Answer: GCF of 8782 and 8788 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 8788?

Answer: Factors of 8788 are 1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788. There are 12 integers that are factors of 8788. The greatest factor of 8788 is 8788.

4. How to Find the GCF of 8782 and 8788?

Answer:

Greatest Common Factor of 8782 and 8788 = 2

Step 1: Find the prime factorization of 8782

8782 = 2 x 4391

Step 2: Find the prime factorization of 8788

8788 = 2 x 2 x 13 x 13 x 13

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 8788 is 2