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 9534, 9540 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9534 and 9540 is 6.
GCF(9534,9540) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9534
2 | 9534 |
3 | 4767 |
7 | 1589 |
227 | 227 |
1 |
Prime factors of 9534 are 2,3,7,227. Prime factorization of 9534 in exponential form is:
9534 = 21×31×71×2271
Prime Factorization of 9540
2 | 9540 |
2 | 4770 |
3 | 2385 |
3 | 795 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 9540 are 2,3,5,53. Prime factorization of 9540 in exponential form is:
9540 = 22×32×51×531
∴ So by taking common prime factors GCF of 9534 and 9540 is 6
Factors of 9534
List of positive integer factors of 9534 that divides 9534 without a remainder.
1,2,3,6,7,14,21,42,227,454,681,1362,1589,3178,4767,9534
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 9534 and 9540. The biggest common factor number is the GCF number.
So the greatest common factor 9534 and 9540 is 6.
Also check out the Least Common Multiple of 9534 and 9540
(i) The GCF of 9534 and 9540 is associative
GCF of 9534 and 9540 = GCF of 9540 and 9534
1. What is the GCF of 9534 and 9540?
Answer: GCF of 9534 and 9540 is 6.
2. What are the Factors of 9534?
Answer: Factors of 9534 are 1, 2, 3, 6, 7, 14, 21, 42, 227, 454, 681, 1362, 1589, 3178, 4767, 9534. There are 16 integers that are factors of 9534. The greatest factor of 9534 is 9534.
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 9534 and 9540?
Answer:
Greatest Common Factor of 9534 and 9540 = 6
Step 1: Find the prime factorization of 9534
9534 = 2 x 3 x 7 x 227
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 = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 9534 and 9540 is 6