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 9588, 9590 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9588 and 9590 is 2.
GCF(9588,9590) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9588
2 | 9588 |
2 | 4794 |
3 | 2397 |
17 | 799 |
47 | 47 |
1 |
Prime factors of 9588 are 2,3,17,47. Prime factorization of 9588 in exponential form is:
9588 = 22×31×171×471
Prime Factorization of 9590
2 | 9590 |
5 | 4795 |
7 | 959 |
137 | 137 |
1 |
Prime factors of 9590 are 2,5,7,137. Prime factorization of 9590 in exponential form is:
9590 = 21×51×71×1371
∴ So by taking common prime factors GCF of 9588 and 9590 is 2
Factors of 9588
List of positive integer factors of 9588 that divides 9588 without a remainder.
1,2,3,4,6,12,17,34,47,51,68,94,102,141,188,204,282,564,799,1598,2397,3196,4794,9588
Factors of 9590
List of positive integer factors of 9590 that divides 9590 without a remainder.
1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590
Greatest Common Factor
We found the factors and prime factorization of 9588 and 9590. The biggest common factor number is the GCF number.
So the greatest common factor 9588 and 9590 is 2.
Also check out the Least Common Multiple of 9588 and 9590
(i) The GCF of 9588 and 9590 is associative
GCF of 9588 and 9590 = GCF of 9590 and 9588
1. What is the GCF of 9588 and 9590?
Answer: GCF of 9588 and 9590 is 2.
2. What are the Factors of 9588?
Answer: Factors of 9588 are 1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588. There are 24 integers that are factors of 9588. The greatest factor of 9588 is 9588.
3. What are the Factors of 9590?
Answer: Factors of 9590 are 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590. There are 16 integers that are factors of 9590. The greatest factor of 9590 is 9590.
4. How to Find the GCF of 9588 and 9590?
Answer:
Greatest Common Factor of 9588 and 9590 = 2
Step 1: Find the prime factorization of 9588
9588 = 2 x 2 x 3 x 17 x 47
Step 2: Find the prime factorization of 9590
9590 = 2 x 5 x 7 x 137
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9588 and 9590 is 2