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 8880, 8884 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8880 and 8884 is 4.
GCF(8880,8884) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8884
2 | 8884 |
2 | 4442 |
2221 | 2221 |
1 |
Prime factors of 8884 are 2,2221. Prime factorization of 8884 in exponential form is:
8884 = 22×22211
∴ So by taking common prime factors GCF of 8880 and 8884 is 4
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
Factors of 8884
List of positive integer factors of 8884 that divides 8884 without a remainder.
1,2,4,2221,4442,8884
Greatest Common Factor
We found the factors and prime factorization of 8880 and 8884. The biggest common factor number is the GCF number.
So the greatest common factor 8880 and 8884 is 4.
Also check out the Least Common Multiple of 8880 and 8884
(i) The GCF of 8880 and 8884 is associative
GCF of 8880 and 8884 = GCF of 8884 and 8880
1. What is the GCF of 8880 and 8884?
Answer: GCF of 8880 and 8884 is 4.
2. 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.
3. What are the Factors of 8884?
Answer: Factors of 8884 are 1, 2, 4, 2221, 4442, 8884. There are 6 integers that are factors of 8884. The greatest factor of 8884 is 8884.
4. How to Find the GCF of 8880 and 8884?
Answer:
Greatest Common Factor of 8880 and 8884 = 4
Step 1: Find the prime factorization of 8880
8880 = 2 x 2 x 2 x 2 x 3 x 5 x 37
Step 2: Find the prime factorization of 8884
8884 = 2 x 2 x 2221
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 8880 and 8884 is 4