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 9512, 9518 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9512 and 9518 is 2.
GCF(9512,9518) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9512
2 | 9512 |
2 | 4756 |
2 | 2378 |
29 | 1189 |
41 | 41 |
1 |
Prime factors of 9512 are 2,29,41. Prime factorization of 9512 in exponential form is:
9512 = 23×291×411
Prime Factorization of 9518
2 | 9518 |
4759 | 4759 |
1 |
Prime factors of 9518 are 2,4759. Prime factorization of 9518 in exponential form is:
9518 = 21×47591
∴ So by taking common prime factors GCF of 9512 and 9518 is 2
Factors of 9512
List of positive integer factors of 9512 that divides 9512 without a remainder.
1,2,4,8,29,41,58,82,116,164,232,328,1189,2378,4756,9512
Factors of 9518
List of positive integer factors of 9518 that divides 9518 without a remainder.
1,2,4759,9518
Greatest Common Factor
We found the factors and prime factorization of 9512 and 9518. The biggest common factor number is the GCF number.
So the greatest common factor 9512 and 9518 is 2.
Also check out the Least Common Multiple of 9512 and 9518
(i) The GCF of 9512 and 9518 is associative
GCF of 9512 and 9518 = GCF of 9518 and 9512
1. What is the GCF of 9512 and 9518?
Answer: GCF of 9512 and 9518 is 2.
2. What are the Factors of 9512?
Answer: Factors of 9512 are 1, 2, 4, 8, 29, 41, 58, 82, 116, 164, 232, 328, 1189, 2378, 4756, 9512. There are 16 integers that are factors of 9512. The greatest factor of 9512 is 9512.
3. What are the Factors of 9518?
Answer: Factors of 9518 are 1, 2, 4759, 9518. There are 4 integers that are factors of 9518. The greatest factor of 9518 is 9518.
4. How to Find the GCF of 9512 and 9518?
Answer:
Greatest Common Factor of 9512 and 9518 = 2
Step 1: Find the prime factorization of 9512
9512 = 2 x 2 x 2 x 29 x 41
Step 2: Find the prime factorization of 9518
9518 = 2 x 4759
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 9512 and 9518 is 2