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 9495, 9498 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9495 and 9498 is 3.
GCF(9495,9498) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9495
3 | 9495 |
3 | 3165 |
5 | 1055 |
211 | 211 |
1 |
Prime factors of 9495 are 3,5,211. Prime factorization of 9495 in exponential form is:
9495 = 32×51×2111
Prime Factorization of 9498
2 | 9498 |
3 | 4749 |
1583 | 1583 |
1 |
Prime factors of 9498 are 2,3,1583. Prime factorization of 9498 in exponential form is:
9498 = 21×31×15831
∴ So by taking common prime factors GCF of 9495 and 9498 is 3
Factors of 9495
List of positive integer factors of 9495 that divides 9495 without a remainder.
1,3,5,9,15,45,211,633,1055,1899,3165,9495
Factors of 9498
List of positive integer factors of 9498 that divides 9498 without a remainder.
1,2,3,6,1583,3166,4749,9498
Greatest Common Factor
We found the factors and prime factorization of 9495 and 9498. The biggest common factor number is the GCF number.
So the greatest common factor 9495 and 9498 is 3.
Also check out the Least Common Multiple of 9495 and 9498
(i) The GCF of 9495 and 9498 is associative
GCF of 9495 and 9498 = GCF of 9498 and 9495
1. What is the GCF of 9495 and 9498?
Answer: GCF of 9495 and 9498 is 3.
2. What are the Factors of 9495?
Answer: Factors of 9495 are 1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495. There are 12 integers that are factors of 9495. The greatest factor of 9495 is 9495.
3. What are the Factors of 9498?
Answer: Factors of 9498 are 1, 2, 3, 6, 1583, 3166, 4749, 9498. There are 8 integers that are factors of 9498. The greatest factor of 9498 is 9498.
4. How to Find the GCF of 9495 and 9498?
Answer:
Greatest Common Factor of 9495 and 9498 = 3
Step 1: Find the prime factorization of 9495
9495 = 3 x 3 x 5 x 211
Step 2: Find the prime factorization of 9498
9498 = 2 x 3 x 1583
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 9495 and 9498 is 3