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 9752, 9758 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9752 and 9758 is 2.
GCF(9752,9758) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9752
2 | 9752 |
2 | 4876 |
2 | 2438 |
23 | 1219 |
53 | 53 |
1 |
Prime factors of 9752 are 2,23,53. Prime factorization of 9752 in exponential form is:
9752 = 23×231×531
Prime Factorization of 9758
2 | 9758 |
7 | 4879 |
17 | 697 |
41 | 41 |
1 |
Prime factors of 9758 are 2,7,17,41. Prime factorization of 9758 in exponential form is:
9758 = 21×71×171×411
∴ So by taking common prime factors GCF of 9752 and 9758 is 2
Factors of 9752
List of positive integer factors of 9752 that divides 9752 without a remainder.
1,2,4,8,23,46,53,92,106,184,212,424,1219,2438,4876,9752
Factors of 9758
List of positive integer factors of 9758 that divides 9758 without a remainder.
1,2,7,14,17,34,41,82,119,238,287,574,697,1394,4879,9758
Greatest Common Factor
We found the factors and prime factorization of 9752 and 9758. The biggest common factor number is the GCF number.
So the greatest common factor 9752 and 9758 is 2.
Also check out the Least Common Multiple of 9752 and 9758
(i) The GCF of 9752 and 9758 is associative
GCF of 9752 and 9758 = GCF of 9758 and 9752
1. What is the GCF of 9752 and 9758?
Answer: GCF of 9752 and 9758 is 2.
2. What are the Factors of 9752?
Answer: Factors of 9752 are 1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752. There are 16 integers that are factors of 9752. The greatest factor of 9752 is 9752.
3. What are the Factors of 9758?
Answer: Factors of 9758 are 1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758. There are 16 integers that are factors of 9758. The greatest factor of 9758 is 9758.
4. How to Find the GCF of 9752 and 9758?
Answer:
Greatest Common Factor of 9752 and 9758 = 2
Step 1: Find the prime factorization of 9752
9752 = 2 x 2 x 2 x 23 x 53
Step 2: Find the prime factorization of 9758
9758 = 2 x 7 x 17 x 41
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 9752 and 9758 is 2