Greatest Common Factor of 8788 and 8794

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 8788, 8794 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8788 and 8794 is 2.

GCF(8788,8794) = 2

GCF of 8788 and 8794

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

GCF of:
and

Greatest Common Factor of 8788 and 8794

GCF of 8788 and 8794 is 2

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

Prime Factorization of 8794


2 8794
4397 4397
1

Prime factors of 8794 are 2,4397. Prime factorization of 8794 in exponential form is:

8794 = 21×43971

∴ So by taking common prime factors GCF of 8788 and 8794 is 2

Greatest Common Factor of 8788 and 8794 by matching factors method

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

Factors of 8794

List of positive integer factors of 8794 that divides 8794 without a remainder.

1,2,4397,8794

Greatest Common Factor

We found the factors and prime factorization of 8788 and 8794. The biggest common factor number is the GCF number.
So the greatest common factor 8788 and 8794 is 2.

Also check out the Least Common Multiple of 8788 and 8794

Properties of GCF 8788 and 8794

(i) The GCF of 8788 and 8794 is associative

GCF of 8788 and 8794 = GCF of 8794 and 8788

Frequently Asked Questions on GCF of 8788 and 8794

1. What is the GCF of 8788 and 8794?

Answer: GCF of 8788 and 8794 is 2.

2. 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.

3. What are the Factors of 8794?

Answer: Factors of 8794 are 1, 2, 4397, 8794. There are 4 integers that are factors of 8794. The greatest factor of 8794 is 8794.

4. How to Find the GCF of 8788 and 8794?

Answer:

Greatest Common Factor of 8788 and 8794 = 2

Step 1: Find the prime factorization of 8788

8788 = 2 x 2 x 13 x 13 x 13

Step 2: Find the prime factorization of 8794

8794 = 2 x 4397

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 8788 and 8794 is 2