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 9459, 9466 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9459 and 9466 is 1.
GCF(9459,9466) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9459
3 | 9459 |
3 | 3153 |
1051 | 1051 |
1 |
Prime factors of 9459 are 3,1051. Prime factorization of 9459 in exponential form is:
9459 = 32×10511
Prime Factorization of 9466
2 | 9466 |
4733 | 4733 |
1 |
Prime factors of 9466 are 2,4733. Prime factorization of 9466 in exponential form is:
9466 = 21×47331
∴ So by taking common prime factors GCF of 9459 and 9466 is 1
Factors of 9459
List of positive integer factors of 9459 that divides 9459 without a remainder.
1,3,9,1051,3153,9459
Factors of 9466
List of positive integer factors of 9466 that divides 9466 without a remainder.
1,2,4733,9466
Greatest Common Factor
We found the factors and prime factorization of 9459 and 9466. The biggest common factor number is the GCF number.
So the greatest common factor 9459 and 9466 is 1.
Also check out the Least Common Multiple of 9459 and 9466
(i) The GCF of 9459 and 9466 is associative
GCF of 9459 and 9466 = GCF of 9466 and 9459
1. What is the GCF of 9459 and 9466?
Answer: GCF of 9459 and 9466 is 1.
2. What are the Factors of 9459?
Answer: Factors of 9459 are 1, 3, 9, 1051, 3153, 9459. There are 6 integers that are factors of 9459. The greatest factor of 9459 is 9459.
3. What are the Factors of 9466?
Answer: Factors of 9466 are 1, 2, 4733, 9466. There are 4 integers that are factors of 9466. The greatest factor of 9466 is 9466.
4. How to Find the GCF of 9459 and 9466?
Answer:
Greatest Common Factor of 9459 and 9466 = 1
Step 1: Find the prime factorization of 9459
9459 = 3 x 3 x 1051
Step 2: Find the prime factorization of 9466
9466 = 2 x 4733
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 9459 and 9466 is 1