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 9573, 9576 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9573 and 9576 is 3.
GCF(9573,9576) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9573
3 | 9573 |
3191 | 3191 |
1 |
Prime factors of 9573 are 3,3191. Prime factorization of 9573 in exponential form is:
9573 = 31×31911
Prime Factorization of 9576
2 | 9576 |
2 | 4788 |
2 | 2394 |
3 | 1197 |
3 | 399 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 9576 are 2,3,7,19. Prime factorization of 9576 in exponential form is:
9576 = 23×32×71×191
∴ So by taking common prime factors GCF of 9573 and 9576 is 3
Factors of 9573
List of positive integer factors of 9573 that divides 9573 without a remainder.
1,3,3191,9573
Factors of 9576
List of positive integer factors of 9576 that divides 9576 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576
Greatest Common Factor
We found the factors and prime factorization of 9573 and 9576. The biggest common factor number is the GCF number.
So the greatest common factor 9573 and 9576 is 3.
Also check out the Least Common Multiple of 9573 and 9576
(i) The GCF of 9573 and 9576 is associative
GCF of 9573 and 9576 = GCF of 9576 and 9573
1. What is the GCF of 9573 and 9576?
Answer: GCF of 9573 and 9576 is 3.
2. What are the Factors of 9573?
Answer: Factors of 9573 are 1, 3, 3191, 9573. There are 4 integers that are factors of 9573. The greatest factor of 9573 is 9573.
3. What are the Factors of 9576?
Answer: Factors of 9576 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576. There are 48 integers that are factors of 9576. The greatest factor of 9576 is 9576.
4. How to Find the GCF of 9573 and 9576?
Answer:
Greatest Common Factor of 9573 and 9576 = 3
Step 1: Find the prime factorization of 9573
9573 = 3 x 3191
Step 2: Find the prime factorization of 9576
9576 = 2 x 2 x 2 x 3 x 3 x 7 x 19
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 9573 and 9576 is 3