Greatest Common Factor of 9752 and 9760

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, 9760 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9752 and 9760 is 8.

GCF(9752,9760) = 8

GCF of 9752 and 9760

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9752 and 9760

GCF of 9752 and 9760 is 8

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 9760


2 9760
2 4880
2 2440
2 1220
2 610
5 305
61 61
1

Prime factors of 9760 are 2,5,61. Prime factorization of 9760 in exponential form is:

9760 = 25×51×611

∴ So by taking common prime factors GCF of 9752 and 9760 is 8

Greatest Common Factor of 9752 and 9760 by matching factors method

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 9760

List of positive integer factors of 9760 that divides 9760 without a remainder.

1,2,4,5,8,10,16,20,32,40,61,80,122,160,244,305,488,610,976,1220,1952,2440,4880,9760

Greatest Common Factor

We found the factors and prime factorization of 9752 and 9760. The biggest common factor number is the GCF number.
So the greatest common factor 9752 and 9760 is 8.

Also check out the Least Common Multiple of 9752 and 9760

Properties of GCF 9752 and 9760

(i) The GCF of 9752 and 9760 is associative

GCF of 9752 and 9760 = GCF of 9760 and 9752

Related Greatest Common Factor of 9752

Related Greatest Common Factor of 9760

Frequently Asked Questions on GCF of 9752 and 9760

1. What is the GCF of 9752 and 9760?

Answer: GCF of 9752 and 9760 is 8.

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 9760?

Answer: Factors of 9760 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880, 9760. There are 24 integers that are factors of 9760. The greatest factor of 9760 is 9760.

4. How to Find the GCF of 9752 and 9760?

Answer:

Greatest Common Factor of 9752 and 9760 = 8

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 9760

9760 = 2 x 2 x 2 x 2 x 2 x 5 x 61

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9752 and 9760 is 8