Greatest Common Factor of 9765 and 9768

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 9765, 9768 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9765 and 9768 is 3.

GCF(9765,9768) = 3

GCF of 9765 and 9768

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

GCF of:
and

Greatest Common Factor of 9765 and 9768

GCF of 9765 and 9768 is 3

Prime Factorization of 9765


3 9765
3 3255
5 1085
7 217
31 31
1

Prime factors of 9765 are 3,5,7,31. Prime factorization of 9765 in exponential form is:

9765 = 32×51×71×311

Prime Factorization of 9768


2 9768
2 4884
2 2442
3 1221
11 407
37 37
1

Prime factors of 9768 are 2,3,11,37. Prime factorization of 9768 in exponential form is:

9768 = 23×31×111×371

∴ So by taking common prime factors GCF of 9765 and 9768 is 3

Greatest Common Factor of 9765 and 9768 by matching factors method

Factors of 9765

List of positive integer factors of 9765 that divides 9765 without a remainder.

1,3,5,7,9,15,21,31,35,45,63,93,105,155,217,279,315,465,651,1085,1395,1953,3255,9765

Factors of 9768

List of positive integer factors of 9768 that divides 9768 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768

Greatest Common Factor

We found the factors and prime factorization of 9765 and 9768. The biggest common factor number is the GCF number.
So the greatest common factor 9765 and 9768 is 3.

Also check out the Least Common Multiple of 9765 and 9768

Properties of GCF 9765 and 9768

(i) The GCF of 9765 and 9768 is associative

GCF of 9765 and 9768 = GCF of 9768 and 9765

Related Greatest Common Factor of 9765

Related Greatest Common Factor of 9768

Frequently Asked Questions on GCF of 9765 and 9768

1. What is the GCF of 9765 and 9768?

Answer: GCF of 9765 and 9768 is 3.

2. What are the Factors of 9765?

Answer: Factors of 9765 are 1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765. There are 24 integers that are factors of 9765. The greatest factor of 9765 is 9765.

3. What are the Factors of 9768?

Answer: Factors of 9768 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884, 9768. There are 32 integers that are factors of 9768. The greatest factor of 9768 is 9768.

4. How to Find the GCF of 9765 and 9768?

Answer:

Greatest Common Factor of 9765 and 9768 = 3

Step 1: Find the prime factorization of 9765

9765 = 3 x 3 x 5 x 7 x 31

Step 2: Find the prime factorization of 9768

9768 = 2 x 2 x 2 x 3 x 11 x 37

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9765 and 9768 is 3