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 9530, 9536 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9530 and 9536 is 2.
GCF(9530,9536) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9530
2 | 9530 |
5 | 4765 |
953 | 953 |
1 |
Prime factors of 9530 are 2,5,953. Prime factorization of 9530 in exponential form is:
9530 = 21×51×9531
Prime Factorization of 9536
2 | 9536 |
2 | 4768 |
2 | 2384 |
2 | 1192 |
2 | 596 |
2 | 298 |
149 | 149 |
1 |
Prime factors of 9536 are 2,149. Prime factorization of 9536 in exponential form is:
9536 = 26×1491
∴ So by taking common prime factors GCF of 9530 and 9536 is 2
Factors of 9530
List of positive integer factors of 9530 that divides 9530 without a remainder.
1,2,5,10,953,1906,4765,9530
Factors of 9536
List of positive integer factors of 9536 that divides 9536 without a remainder.
1,2,4,8,16,32,64,149,298,596,1192,2384,4768,9536
Greatest Common Factor
We found the factors and prime factorization of 9530 and 9536. The biggest common factor number is the GCF number.
So the greatest common factor 9530 and 9536 is 2.
Also check out the Least Common Multiple of 9530 and 9536
(i) The GCF of 9530 and 9536 is associative
GCF of 9530 and 9536 = GCF of 9536 and 9530
1. What is the GCF of 9530 and 9536?
Answer: GCF of 9530 and 9536 is 2.
2. What are the Factors of 9530?
Answer: Factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530. There are 8 integers that are factors of 9530. The greatest factor of 9530 is 9530.
3. What are the Factors of 9536?
Answer: Factors of 9536 are 1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536. There are 14 integers that are factors of 9536. The greatest factor of 9536 is 9536.
4. How to Find the GCF of 9530 and 9536?
Answer:
Greatest Common Factor of 9530 and 9536 = 2
Step 1: Find the prime factorization of 9530
9530 = 2 x 5 x 953
Step 2: Find the prime factorization of 9536
9536 = 2 x 2 x 2 x 2 x 2 x 2 x 149
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 9530 and 9536 is 2