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 9453, 9458 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9453 and 9458 is 1.
GCF(9453,9458) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9453
3 | 9453 |
23 | 3151 |
137 | 137 |
1 |
Prime factors of 9453 are 3,23,137. Prime factorization of 9453 in exponential form is:
9453 = 31×231×1371
Prime Factorization of 9458
2 | 9458 |
4729 | 4729 |
1 |
Prime factors of 9458 are 2,4729. Prime factorization of 9458 in exponential form is:
9458 = 21×47291
∴ So by taking common prime factors GCF of 9453 and 9458 is 1
Factors of 9453
List of positive integer factors of 9453 that divides 9453 without a remainder.
1,3,23,69,137,411,3151,9453
Factors of 9458
List of positive integer factors of 9458 that divides 9458 without a remainder.
1,2,4729,9458
Greatest Common Factor
We found the factors and prime factorization of 9453 and 9458. The biggest common factor number is the GCF number.
So the greatest common factor 9453 and 9458 is 1.
Also check out the Least Common Multiple of 9453 and 9458
(i) The GCF of 9453 and 9458 is associative
GCF of 9453 and 9458 = GCF of 9458 and 9453
1. What is the GCF of 9453 and 9458?
Answer: GCF of 9453 and 9458 is 1.
2. What are the Factors of 9453?
Answer: Factors of 9453 are 1, 3, 23, 69, 137, 411, 3151, 9453. There are 8 integers that are factors of 9453. The greatest factor of 9453 is 9453.
3. What are the Factors of 9458?
Answer: Factors of 9458 are 1, 2, 4729, 9458. There are 4 integers that are factors of 9458. The greatest factor of 9458 is 9458.
4. How to Find the GCF of 9453 and 9458?
Answer:
Greatest Common Factor of 9453 and 9458 = 1
Step 1: Find the prime factorization of 9453
9453 = 3 x 23 x 137
Step 2: Find the prime factorization of 9458
9458 = 2 x 4729
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 9453 and 9458 is 1