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 9914, 9917 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9914 and 9917 is 1.
GCF(9914,9917) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9914
2 | 9914 |
4957 | 4957 |
1 |
Prime factors of 9914 are 2,4957. Prime factorization of 9914 in exponential form is:
9914 = 21×49571
Prime Factorization of 9917
47 | 9917 |
211 | 211 |
1 |
Prime factors of 9917 are 47,211. Prime factorization of 9917 in exponential form is:
9917 = 471×2111
∴ So by taking common prime factors GCF of 9914 and 9917 is 1
Factors of 9914
List of positive integer factors of 9914 that divides 9914 without a remainder.
1,2,4957,9914
Factors of 9917
List of positive integer factors of 9917 that divides 9917 without a remainder.
1,47,211,9917
Greatest Common Factor
We found the factors and prime factorization of 9914 and 9917. The biggest common factor number is the GCF number.
So the greatest common factor 9914 and 9917 is 1.
Also check out the Least Common Multiple of 9914 and 9917
(i) The GCF of 9914 and 9917 is associative
GCF of 9914 and 9917 = GCF of 9917 and 9914
1. What is the GCF of 9914 and 9917?
Answer: GCF of 9914 and 9917 is 1.
2. What are the Factors of 9914?
Answer: Factors of 9914 are 1, 2, 4957, 9914. There are 4 integers that are factors of 9914. The greatest factor of 9914 is 9914.
3. What are the Factors of 9917?
Answer: Factors of 9917 are 1, 47, 211, 9917. There are 4 integers that are factors of 9917. The greatest factor of 9917 is 9917.
4. How to Find the GCF of 9914 and 9917?
Answer:
Greatest Common Factor of 9914 and 9917 = 1
Step 1: Find the prime factorization of 9914
9914 = 2 x 4957
Step 2: Find the prime factorization of 9917
9917 = 47 x 211
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 9914 and 9917 is 1