Greatest Common Factor of 8794 and 8798

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 8794, 8798 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8794 and 8798 is 2.

GCF(8794,8798) = 2

GCF of 8794 and 8798

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

GCF of:
and

Greatest Common Factor of 8794 and 8798

GCF of 8794 and 8798 is 2

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

Prime Factorization of 8798


2 8798
53 4399
83 83
1

Prime factors of 8798 are 2,53,83. Prime factorization of 8798 in exponential form is:

8798 = 21×531×831

∴ So by taking common prime factors GCF of 8794 and 8798 is 2

Greatest Common Factor of 8794 and 8798 by matching factors method

Factors of 8794

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

1,2,4397,8794

Factors of 8798

List of positive integer factors of 8798 that divides 8798 without a remainder.

1,2,53,83,106,166,4399,8798

Greatest Common Factor

We found the factors and prime factorization of 8794 and 8798. The biggest common factor number is the GCF number.
So the greatest common factor 8794 and 8798 is 2.

Also check out the Least Common Multiple of 8794 and 8798

Properties of GCF 8794 and 8798

(i) The GCF of 8794 and 8798 is associative

GCF of 8794 and 8798 = GCF of 8798 and 8794

Frequently Asked Questions on GCF of 8794 and 8798

1. What is the GCF of 8794 and 8798?

Answer: GCF of 8794 and 8798 is 2.

2. 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.

3. What are the Factors of 8798?

Answer: Factors of 8798 are 1, 2, 53, 83, 106, 166, 4399, 8798. There are 8 integers that are factors of 8798. The greatest factor of 8798 is 8798.

4. How to Find the GCF of 8794 and 8798?

Answer:

Greatest Common Factor of 8794 and 8798 = 2

Step 1: Find the prime factorization of 8794

8794 = 2 x 4397

Step 2: Find the prime factorization of 8798

8798 = 2 x 53 x 83

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 8794 and 8798 is 2