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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 8794 and 8798 is associative
GCF of 8794 and 8798 = GCF of 8798 and 8794
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