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 9523, 9524 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9523 and 9524 is 1.
GCF(9523,9524) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9523
89 | 9523 |
107 | 107 |
1 |
Prime factors of 9523 are 89,107. Prime factorization of 9523 in exponential form is:
9523 = 891×1071
Prime Factorization of 9524
2 | 9524 |
2 | 4762 |
2381 | 2381 |
1 |
Prime factors of 9524 are 2,2381. Prime factorization of 9524 in exponential form is:
9524 = 22×23811
∴ So by taking common prime factors GCF of 9523 and 9524 is 1
Factors of 9523
List of positive integer factors of 9523 that divides 9523 without a remainder.
1,89,107,9523
Factors of 9524
List of positive integer factors of 9524 that divides 9524 without a remainder.
1,2,4,2381,4762,9524
Greatest Common Factor
We found the factors and prime factorization of 9523 and 9524. The biggest common factor number is the GCF number.
So the greatest common factor 9523 and 9524 is 1.
Also check out the Least Common Multiple of 9523 and 9524
(i) The GCF of 9523 and 9524 is associative
GCF of 9523 and 9524 = GCF of 9524 and 9523
1. What is the GCF of 9523 and 9524?
Answer: GCF of 9523 and 9524 is 1.
2. What are the Factors of 9523?
Answer: Factors of 9523 are 1, 89, 107, 9523. There are 4 integers that are factors of 9523. The greatest factor of 9523 is 9523.
3. What are the Factors of 9524?
Answer: Factors of 9524 are 1, 2, 4, 2381, 4762, 9524. There are 6 integers that are factors of 9524. The greatest factor of 9524 is 9524.
4. How to Find the GCF of 9523 and 9524?
Answer:
Greatest Common Factor of 9523 and 9524 = 1
Step 1: Find the prime factorization of 9523
9523 = 89 x 107
Step 2: Find the prime factorization of 9524
9524 = 2 x 2 x 2381
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 9523 and 9524 is 1