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 9576, 9579 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9576 and 9579 is 3.
GCF(9576,9579) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9579
3 | 9579 |
31 | 3193 |
103 | 103 |
1 |
Prime factors of 9579 are 3,31,103. Prime factorization of 9579 in exponential form is:
9579 = 31×311×1031
∴ So by taking common prime factors GCF of 9576 and 9579 is 3
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
Factors of 9579
List of positive integer factors of 9579 that divides 9579 without a remainder.
1,3,31,93,103,309,3193,9579
Greatest Common Factor
We found the factors and prime factorization of 9576 and 9579. The biggest common factor number is the GCF number.
So the greatest common factor 9576 and 9579 is 3.
Also check out the Least Common Multiple of 9576 and 9579
(i) The GCF of 9576 and 9579 is associative
GCF of 9576 and 9579 = GCF of 9579 and 9576
1. What is the GCF of 9576 and 9579?
Answer: GCF of 9576 and 9579 is 3.
2. 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.
3. What are the Factors of 9579?
Answer: Factors of 9579 are 1, 3, 31, 93, 103, 309, 3193, 9579. There are 8 integers that are factors of 9579. The greatest factor of 9579 is 9579.
4. How to Find the GCF of 9576 and 9579?
Answer:
Greatest Common Factor of 9576 and 9579 = 3
Step 1: Find the prime factorization of 9576
9576 = 2 x 2 x 2 x 3 x 3 x 7 x 19
Step 2: Find the prime factorization of 9579
9579 = 3 x 31 x 103
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 9576 and 9579 is 3