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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 8788 and 8794 is associative
GCF of 8788 and 8794 = GCF of 8794 and 8788
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