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 9416, 9418 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9416 and 9418 is 2.
GCF(9416,9418) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9416
2 | 9416 |
2 | 4708 |
2 | 2354 |
11 | 1177 |
107 | 107 |
1 |
Prime factors of 9416 are 2,11,107. Prime factorization of 9416 in exponential form is:
9416 = 23×111×1071
Prime Factorization of 9418
2 | 9418 |
17 | 4709 |
277 | 277 |
1 |
Prime factors of 9418 are 2,17,277. Prime factorization of 9418 in exponential form is:
9418 = 21×171×2771
∴ So by taking common prime factors GCF of 9416 and 9418 is 2
Factors of 9416
List of positive integer factors of 9416 that divides 9416 without a remainder.
1,2,4,8,11,22,44,88,107,214,428,856,1177,2354,4708,9416
Factors of 9418
List of positive integer factors of 9418 that divides 9418 without a remainder.
1,2,17,34,277,554,4709,9418
Greatest Common Factor
We found the factors and prime factorization of 9416 and 9418. The biggest common factor number is the GCF number.
So the greatest common factor 9416 and 9418 is 2.
Also check out the Least Common Multiple of 9416 and 9418
(i) The GCF of 9416 and 9418 is associative
GCF of 9416 and 9418 = GCF of 9418 and 9416
1. What is the GCF of 9416 and 9418?
Answer: GCF of 9416 and 9418 is 2.
2. What are the Factors of 9416?
Answer: Factors of 9416 are 1, 2, 4, 8, 11, 22, 44, 88, 107, 214, 428, 856, 1177, 2354, 4708, 9416. There are 16 integers that are factors of 9416. The greatest factor of 9416 is 9416.
3. What are the Factors of 9418?
Answer: Factors of 9418 are 1, 2, 17, 34, 277, 554, 4709, 9418. There are 8 integers that are factors of 9418. The greatest factor of 9418 is 9418.
4. How to Find the GCF of 9416 and 9418?
Answer:
Greatest Common Factor of 9416 and 9418 = 2
Step 1: Find the prime factorization of 9416
9416 = 2 x 2 x 2 x 11 x 107
Step 2: Find the prime factorization of 9418
9418 = 2 x 17 x 277
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 9416 and 9418 is 2