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 9904, 9907 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9904 and 9907 is 1.
GCF(9904,9907) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9907
9907 | 9907 |
1 |
Prime factors of 9907 are 9907. Prime factorization of 9907 in exponential form is:
9907 = 99071
∴ So by taking common prime factors GCF of 9904 and 9907 is 1
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
Factors of 9907
List of positive integer factors of 9907 that divides 9907 without a remainder.
1,9907
Greatest Common Factor
We found the factors and prime factorization of 9904 and 9907. The biggest common factor number is the GCF number.
So the greatest common factor 9904 and 9907 is 1.
Also check out the Least Common Multiple of 9904 and 9907
(i) The GCF of 9904 and 9907 is associative
GCF of 9904 and 9907 = GCF of 9907 and 9904
1. What is the GCF of 9904 and 9907?
Answer: GCF of 9904 and 9907 is 1.
2. 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.
3. What are the Factors of 9907?
Answer: Factors of 9907 are 1, 9907. There are 2 integers that are factors of 9907. The greatest factor of 9907 is 9907.
4. How to Find the GCF of 9904 and 9907?
Answer:
Greatest Common Factor of 9904 and 9907 = 1
Step 1: Find the prime factorization of 9904
9904 = 2 x 2 x 2 x 2 x 619
Step 2: Find the prime factorization of 9907
9907 = 9907
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 9904 and 9907 is 1