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 9557, 9563 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9557 and 9563 is 1.
GCF(9557,9563) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9557
19 | 9557 |
503 | 503 |
1 |
Prime factors of 9557 are 19,503. Prime factorization of 9557 in exponential form is:
9557 = 191×5031
Prime Factorization of 9563
73 | 9563 |
131 | 131 |
1 |
Prime factors of 9563 are 73,131. Prime factorization of 9563 in exponential form is:
9563 = 731×1311
∴ So by taking common prime factors GCF of 9557 and 9563 is 1
Factors of 9557
List of positive integer factors of 9557 that divides 9557 without a remainder.
1,19,503,9557
Factors of 9563
List of positive integer factors of 9563 that divides 9563 without a remainder.
1,73,131,9563
Greatest Common Factor
We found the factors and prime factorization of 9557 and 9563. The biggest common factor number is the GCF number.
So the greatest common factor 9557 and 9563 is 1.
Also check out the Least Common Multiple of 9557 and 9563
(i) The GCF of 9557 and 9563 is associative
GCF of 9557 and 9563 = GCF of 9563 and 9557
1. What is the GCF of 9557 and 9563?
Answer: GCF of 9557 and 9563 is 1.
2. What are the Factors of 9557?
Answer: Factors of 9557 are 1, 19, 503, 9557. There are 4 integers that are factors of 9557. The greatest factor of 9557 is 9557.
3. What are the Factors of 9563?
Answer: Factors of 9563 are 1, 73, 131, 9563. There are 4 integers that are factors of 9563. The greatest factor of 9563 is 9563.
4. How to Find the GCF of 9557 and 9563?
Answer:
Greatest Common Factor of 9557 and 9563 = 1
Step 1: Find the prime factorization of 9557
9557 = 19 x 503
Step 2: Find the prime factorization of 9563
9563 = 73 x 131
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 9557 and 9563 is 1