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 8876, 8880 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8876 and 8880 is 4.
GCF(8876,8880) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8876
2 | 8876 |
2 | 4438 |
7 | 2219 |
317 | 317 |
1 |
Prime factors of 8876 are 2,7,317. Prime factorization of 8876 in exponential form is:
8876 = 22×71×3171
Prime Factorization of 8880
2 | 8880 |
2 | 4440 |
2 | 2220 |
2 | 1110 |
3 | 555 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 8880 are 2,3,5,37. Prime factorization of 8880 in exponential form is:
8880 = 24×31×51×371
∴ So by taking common prime factors GCF of 8876 and 8880 is 4
Factors of 8876
List of positive integer factors of 8876 that divides 8876 without a remainder.
1,2,4,7,14,28,317,634,1268,2219,4438,8876
Factors of 8880
List of positive integer factors of 8880 that divides 8880 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,37,40,48,60,74,80,111,120,148,185,222,240,296,370,444,555,592,740,888,1110,1480,1776,2220,2960,4440,8880
Greatest Common Factor
We found the factors and prime factorization of 8876 and 8880. The biggest common factor number is the GCF number.
So the greatest common factor 8876 and 8880 is 4.
Also check out the Least Common Multiple of 8876 and 8880
(i) The GCF of 8876 and 8880 is associative
GCF of 8876 and 8880 = GCF of 8880 and 8876
1. What is the GCF of 8876 and 8880?
Answer: GCF of 8876 and 8880 is 4.
2. What are the Factors of 8876?
Answer: Factors of 8876 are 1, 2, 4, 7, 14, 28, 317, 634, 1268, 2219, 4438, 8876. There are 12 integers that are factors of 8876. The greatest factor of 8876 is 8876.
3. What are the Factors of 8880?
Answer: Factors of 8880 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 555, 592, 740, 888, 1110, 1480, 1776, 2220, 2960, 4440, 8880. There are 40 integers that are factors of 8880. The greatest factor of 8880 is 8880.
4. How to Find the GCF of 8876 and 8880?
Answer:
Greatest Common Factor of 8876 and 8880 = 4
Step 1: Find the prime factorization of 8876
8876 = 2 x 2 x 7 x 317
Step 2: Find the prime factorization of 8880
8880 = 2 x 2 x 2 x 2 x 3 x 5 x 37
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 8876 and 8880 is 4