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 9899, 9904 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9899 and 9904 is 1.
GCF(9899,9904) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9899
19 | 9899 |
521 | 521 |
1 |
Prime factors of 9899 are 19,521. Prime factorization of 9899 in exponential form is:
9899 = 191×5211
Prime Factorization of 9904
2 | 9904 |
2 | 4952 |
2 | 2476 |
2 | 1238 |
619 | 619 |
1 |
Prime factors of 9904 are 2,619. Prime factorization of 9904 in exponential form is:
9904 = 24×6191
∴ So by taking common prime factors GCF of 9899 and 9904 is 1
Factors of 9899
List of positive integer factors of 9899 that divides 9899 without a remainder.
1,19,521,9899
Factors of 9904
List of positive integer factors of 9904 that divides 9904 without a remainder.
1,2,4,8,16,619,1238,2476,4952,9904
Greatest Common Factor
We found the factors and prime factorization of 9899 and 9904. The biggest common factor number is the GCF number.
So the greatest common factor 9899 and 9904 is 1.
Also check out the Least Common Multiple of 9899 and 9904
(i) The GCF of 9899 and 9904 is associative
GCF of 9899 and 9904 = GCF of 9904 and 9899
1. What is the GCF of 9899 and 9904?
Answer: GCF of 9899 and 9904 is 1.
2. What are the Factors of 9899?
Answer: Factors of 9899 are 1, 19, 521, 9899. There are 4 integers that are factors of 9899. The greatest factor of 9899 is 9899.
3. What are the Factors of 9904?
Answer: Factors of 9904 are 1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904. There are 10 integers that are factors of 9904. The greatest factor of 9904 is 9904.
4. How to Find the GCF of 9899 and 9904?
Answer:
Greatest Common Factor of 9899 and 9904 = 1
Step 1: Find the prime factorization of 9899
9899 = 19 x 521
Step 2: Find the prime factorization of 9904
9904 = 2 x 2 x 2 x 2 x 619
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 9899 and 9904 is 1