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 8877, 8884 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8877 and 8884 is 1.
GCF(8877,8884) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8877
3 | 8877 |
11 | 2959 |
269 | 269 |
1 |
Prime factors of 8877 are 3,11,269. Prime factorization of 8877 in exponential form is:
8877 = 31×111×2691
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 8877 and 8884 is 1
Factors of 8877
List of positive integer factors of 8877 that divides 8877 without a remainder.
1,3,11,33,269,807,2959,8877
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 8877 and 8884. The biggest common factor number is the GCF number.
So the greatest common factor 8877 and 8884 is 1.
Also check out the Least Common Multiple of 8877 and 8884
(i) The GCF of 8877 and 8884 is associative
GCF of 8877 and 8884 = GCF of 8884 and 8877
1. What is the GCF of 8877 and 8884?
Answer: GCF of 8877 and 8884 is 1.
2. What are the Factors of 8877?
Answer: Factors of 8877 are 1, 3, 11, 33, 269, 807, 2959, 8877. There are 8 integers that are factors of 8877. The greatest factor of 8877 is 8877.
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 8877 and 8884?
Answer:
Greatest Common Factor of 8877 and 8884 = 1
Step 1: Find the prime factorization of 8877
8877 = 3 x 11 x 269
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 = = 1
Step 4: Therefore, the greatest common factor of 8877 and 8884 is 1