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 9581, 9583 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9581 and 9583 is 1.
GCF(9581,9583) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9581
11 | 9581 |
13 | 871 |
67 | 67 |
1 |
Prime factors of 9581 are 11,13,67. Prime factorization of 9581 in exponential form is:
9581 = 111×131×671
Prime Factorization of 9583
7 | 9583 |
37 | 1369 |
37 | 37 |
1 |
Prime factors of 9583 are 7,37. Prime factorization of 9583 in exponential form is:
9583 = 71×372
∴ So by taking common prime factors GCF of 9581 and 9583 is 1
Factors of 9581
List of positive integer factors of 9581 that divides 9581 without a remainder.
1,11,13,67,143,737,871,9581
Factors of 9583
List of positive integer factors of 9583 that divides 9583 without a remainder.
1,7,37,259,1369,9583
Greatest Common Factor
We found the factors and prime factorization of 9581 and 9583. The biggest common factor number is the GCF number.
So the greatest common factor 9581 and 9583 is 1.
Also check out the Least Common Multiple of 9581 and 9583
(i) The GCF of 9581 and 9583 is associative
GCF of 9581 and 9583 = GCF of 9583 and 9581
1. What is the GCF of 9581 and 9583?
Answer: GCF of 9581 and 9583 is 1.
2. What are the Factors of 9581?
Answer: Factors of 9581 are 1, 11, 13, 67, 143, 737, 871, 9581. There are 8 integers that are factors of 9581. The greatest factor of 9581 is 9581.
3. What are the Factors of 9583?
Answer: Factors of 9583 are 1, 7, 37, 259, 1369, 9583. There are 6 integers that are factors of 9583. The greatest factor of 9583 is 9583.
4. How to Find the GCF of 9581 and 9583?
Answer:
Greatest Common Factor of 9581 and 9583 = 1
Step 1: Find the prime factorization of 9581
9581 = 11 x 13 x 67
Step 2: Find the prime factorization of 9583
9583 = 7 x 37 x 37
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 9581 and 9583 is 1