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 8888, 8894 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8888 and 8894 is 2.
GCF(8888,8894) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8894
2 | 8894 |
4447 | 4447 |
1 |
Prime factors of 8894 are 2,4447. Prime factorization of 8894 in exponential form is:
8894 = 21×44471
∴ So by taking common prime factors GCF of 8888 and 8894 is 2
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
Factors of 8894
List of positive integer factors of 8894 that divides 8894 without a remainder.
1,2,4447,8894
Greatest Common Factor
We found the factors and prime factorization of 8888 and 8894. The biggest common factor number is the GCF number.
So the greatest common factor 8888 and 8894 is 2.
Also check out the Least Common Multiple of 8888 and 8894
(i) The GCF of 8888 and 8894 is associative
GCF of 8888 and 8894 = GCF of 8894 and 8888
1. What is the GCF of 8888 and 8894?
Answer: GCF of 8888 and 8894 is 2.
2. 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.
3. What are the Factors of 8894?
Answer: Factors of 8894 are 1, 2, 4447, 8894. There are 4 integers that are factors of 8894. The greatest factor of 8894 is 8894.
4. How to Find the GCF of 8888 and 8894?
Answer:
Greatest Common Factor of 8888 and 8894 = 2
Step 1: Find the prime factorization of 8888
8888 = 2 x 2 x 2 x 11 x 101
Step 2: Find the prime factorization of 8894
8894 = 2 x 4447
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 8888 and 8894 is 2