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 9748, 9752 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9748 and 9752 is 4.
GCF(9748,9752) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9748
2 | 9748 |
2 | 4874 |
2437 | 2437 |
1 |
Prime factors of 9748 are 2,2437. Prime factorization of 9748 in exponential form is:
9748 = 22×24371
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
∴ So by taking common prime factors GCF of 9748 and 9752 is 4
Factors of 9748
List of positive integer factors of 9748 that divides 9748 without a remainder.
1,2,4,2437,4874,9748
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
Greatest Common Factor
We found the factors and prime factorization of 9748 and 9752. The biggest common factor number is the GCF number.
So the greatest common factor 9748 and 9752 is 4.
Also check out the Least Common Multiple of 9748 and 9752
(i) The GCF of 9748 and 9752 is associative
GCF of 9748 and 9752 = GCF of 9752 and 9748
1. What is the GCF of 9748 and 9752?
Answer: GCF of 9748 and 9752 is 4.
2. What are the Factors of 9748?
Answer: Factors of 9748 are 1, 2, 4, 2437, 4874, 9748. There are 6 integers that are factors of 9748. The greatest factor of 9748 is 9748.
3. 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.
4. How to Find the GCF of 9748 and 9752?
Answer:
Greatest Common Factor of 9748 and 9752 = 4
Step 1: Find the prime factorization of 9748
9748 = 2 x 2 x 2437
Step 2: Find the prime factorization of 9752
9752 = 2 x 2 x 2 x 23 x 53
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 9748 and 9752 is 4