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 9478, 9484 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9478 and 9484 is 2.
GCF(9478,9484) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9478
2 | 9478 |
7 | 4739 |
677 | 677 |
1 |
Prime factors of 9478 are 2,7,677. Prime factorization of 9478 in exponential form is:
9478 = 21×71×6771
Prime Factorization of 9484
2 | 9484 |
2 | 4742 |
2371 | 2371 |
1 |
Prime factors of 9484 are 2,2371. Prime factorization of 9484 in exponential form is:
9484 = 22×23711
∴ So by taking common prime factors GCF of 9478 and 9484 is 2
Factors of 9478
List of positive integer factors of 9478 that divides 9478 without a remainder.
1,2,7,14,677,1354,4739,9478
Factors of 9484
List of positive integer factors of 9484 that divides 9484 without a remainder.
1,2,4,2371,4742,9484
Greatest Common Factor
We found the factors and prime factorization of 9478 and 9484. The biggest common factor number is the GCF number.
So the greatest common factor 9478 and 9484 is 2.
Also check out the Least Common Multiple of 9478 and 9484
(i) The GCF of 9478 and 9484 is associative
GCF of 9478 and 9484 = GCF of 9484 and 9478
1. What is the GCF of 9478 and 9484?
Answer: GCF of 9478 and 9484 is 2.
2. What are the Factors of 9478?
Answer: Factors of 9478 are 1, 2, 7, 14, 677, 1354, 4739, 9478. There are 8 integers that are factors of 9478. The greatest factor of 9478 is 9478.
3. What are the Factors of 9484?
Answer: Factors of 9484 are 1, 2, 4, 2371, 4742, 9484. There are 6 integers that are factors of 9484. The greatest factor of 9484 is 9484.
4. How to Find the GCF of 9478 and 9484?
Answer:
Greatest Common Factor of 9478 and 9484 = 2
Step 1: Find the prime factorization of 9478
9478 = 2 x 7 x 677
Step 2: Find the prime factorization of 9484
9484 = 2 x 2 x 2371
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 9478 and 9484 is 2