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, 8796 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8788 and 8796 is 4.
GCF(8788,8796) = 4
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 8796
2 | 8796 |
2 | 4398 |
3 | 2199 |
733 | 733 |
1 |
Prime factors of 8796 are 2,3,733. Prime factorization of 8796 in exponential form is:
8796 = 22×31×7331
∴ So by taking common prime factors GCF of 8788 and 8796 is 4
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 8796
List of positive integer factors of 8796 that divides 8796 without a remainder.
1,2,3,4,6,12,733,1466,2199,2932,4398,8796
Greatest Common Factor
We found the factors and prime factorization of 8788 and 8796. The biggest common factor number is the GCF number.
So the greatest common factor 8788 and 8796 is 4.
Also check out the Least Common Multiple of 8788 and 8796
(i) The GCF of 8788 and 8796 is associative
GCF of 8788 and 8796 = GCF of 8796 and 8788
1. What is the GCF of 8788 and 8796?
Answer: GCF of 8788 and 8796 is 4.
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 8796?
Answer: Factors of 8796 are 1, 2, 3, 4, 6, 12, 733, 1466, 2199, 2932, 4398, 8796. There are 12 integers that are factors of 8796. The greatest factor of 8796 is 8796.
4. How to Find the GCF of 8788 and 8796?
Answer:
Greatest Common Factor of 8788 and 8796 = 4
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 8796
8796 = 2 x 2 x 3 x 733
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 8788 and 8796 is 4