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 8886, 8894 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8886 and 8894 is 2.
GCF(8886,8894) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8886
2 | 8886 |
3 | 4443 |
1481 | 1481 |
1 |
Prime factors of 8886 are 2,3,1481. Prime factorization of 8886 in exponential form is:
8886 = 21×31×14811
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 8886 and 8894 is 2
Factors of 8886
List of positive integer factors of 8886 that divides 8886 without a remainder.
1,2,3,6,1481,2962,4443,8886
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 8886 and 8894. The biggest common factor number is the GCF number.
So the greatest common factor 8886 and 8894 is 2.
Also check out the Least Common Multiple of 8886 and 8894
(i) The GCF of 8886 and 8894 is associative
GCF of 8886 and 8894 = GCF of 8894 and 8886
1. What is the GCF of 8886 and 8894?
Answer: GCF of 8886 and 8894 is 2.
2. What are the Factors of 8886?
Answer: Factors of 8886 are 1, 2, 3, 6, 1481, 2962, 4443, 8886. There are 8 integers that are factors of 8886. The greatest factor of 8886 is 8886.
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 8886 and 8894?
Answer:
Greatest Common Factor of 8886 and 8894 = 2
Step 1: Find the prime factorization of 8886
8886 = 2 x 3 x 1481
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 8886 and 8894 is 2