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, 8888 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8880 and 8888 is 8.
GCF(8880,8888) = 8
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 8888
2 | 8888 |
2 | 4444 |
2 | 2222 |
11 | 1111 |
101 | 101 |
1 |
Prime factors of 8888 are 2,11,101. Prime factorization of 8888 in exponential form is:
8888 = 23×111×1011
∴ So by taking common prime factors GCF of 8880 and 8888 is 8
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 8888
List of positive integer factors of 8888 that divides 8888 without a remainder.
1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888
Greatest Common Factor
We found the factors and prime factorization of 8880 and 8888. The biggest common factor number is the GCF number.
So the greatest common factor 8880 and 8888 is 8.
Also check out the Least Common Multiple of 8880 and 8888
(i) The GCF of 8880 and 8888 is associative
GCF of 8880 and 8888 = GCF of 8888 and 8880
1. What is the GCF of 8880 and 8888?
Answer: GCF of 8880 and 8888 is 8.
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 8888?
Answer: Factors of 8888 are 1, 2, 4, 8, 11, 22, 44, 88, 101, 202, 404, 808, 1111, 2222, 4444, 8888. There are 16 integers that are factors of 8888. The greatest factor of 8888 is 8888.
4. How to Find the GCF of 8880 and 8888?
Answer:
Greatest Common Factor of 8880 and 8888 = 8
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 8888
8888 = 2 x 2 x 2 x 11 x 101
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 8880 and 8888 is 8