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 9533, 9540 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9533 and 9540 is 1.
GCF(9533,9540) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9533
9533 | 9533 |
1 |
Prime factors of 9533 are 9533. Prime factorization of 9533 in exponential form is:
9533 = 95331
Prime Factorization of 9540
2 | 9540 |
2 | 4770 |
3 | 2385 |
3 | 795 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 9540 are 2.Prime factorization of 9540 in exponential form is:
9540 = 22×32×51×531
∴ So by taking common prime factors GCF of 9533 and 9540 is 1
Factors of 9533
List of positive integer factors of 9533 that divides 9533 without a remainder.
1,9533
Factors of 9540
List of positive integer factors of 9540 that divides 9540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,53,60,90,106,159,180,212,265,318,477,530,636,795,954,1060,1590,1908,2385,3180,4770,9540
Greatest Common Factor
We found the factors and prime factorization of 9533 and 9540. The biggest common factor number is the GCF number.
So the greatest common factor 9533 and 9540 is 1.
Also check out the Least Common Multiple of 9533 and 9540
(i) The GCF of 9533 and 9540 is associative
GCF of 9533 and 9540 = GCF of 9540 and 9533
1. What is the GCF of 9533 and 9540?
Answer: GCF of 9533 and 9540 is 1.
2. What are the Factors of 9533?
Answer: Factors of 9533 are 1, 9533. There are 2 integers that are factors of 9533. The greatest factor of 9533 is 9533.
3. What are the Factors of 9540?
Answer: Factors of 9540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770, 9540. There are 36 integers that are factors of 9540. The greatest factor of 9540 is 9540.
4. How to Find the GCF of 9533 and 9540?
Answer:
Greatest Common Factor of 9533 and 9540 = 1
Step 1: Find the prime factorization of 9533
9533 = 9533
Step 2: Find the prime factorization of 9540
9540 = 2 x 2 x 3 x 3 x 5 x 53
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 9533 and 9540 is 1