Greatest Common Factor of 9744 and 9752

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 9744, 9752 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9744 and 9752 is 8.

GCF(9744,9752) = 8

GCF of 9744 and 9752

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

GCF of:
and

Greatest Common Factor of 9744 and 9752

GCF of 9744 and 9752 is 8

Prime Factorization of 9744


2 9744
2 4872
2 2436
2 1218
3 609
7 203
29 29
1

Prime factors of 9744 are 2,3,7,29. Prime factorization of 9744 in exponential form is:

9744 = 24×31×71×291

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 9744 and 9752 is 8

Greatest Common Factor of 9744 and 9752 by matching factors method

Factors of 9744

List of positive integer factors of 9744 that divides 9744 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,29,42,48,56,58,84,87,112,116,168,174,203,232,336,348,406,464,609,696,812,1218,1392,1624,2436,3248,4872,9744

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 9744 and 9752. The biggest common factor number is the GCF number.
So the greatest common factor 9744 and 9752 is 8.

Also check out the Least Common Multiple of 9744 and 9752

Properties of GCF 9744 and 9752

(i) The GCF of 9744 and 9752 is associative

GCF of 9744 and 9752 = GCF of 9752 and 9744

Related Greatest Common Factor of 9744

Related Greatest Common Factor of 9752

Frequently Asked Questions on GCF of 9744 and 9752

1. What is the GCF of 9744 and 9752?

Answer: GCF of 9744 and 9752 is 8.

2. What are the Factors of 9744?

Answer: Factors of 9744 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 42, 48, 56, 58, 84, 87, 112, 116, 168, 174, 203, 232, 336, 348, 406, 464, 609, 696, 812, 1218, 1392, 1624, 2436, 3248, 4872, 9744. There are 40 integers that are factors of 9744. The greatest factor of 9744 is 9744.

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 9744 and 9752?

Answer:

Greatest Common Factor of 9744 and 9752 = 8

Step 1: Find the prime factorization of 9744

9744 = 2 x 2 x 2 x 2 x 3 x 7 x 29

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 9744 and 9752 is 8