Greatest Common Factor of 9768 and 9774

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 9768, 9774 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9768 and 9774 is 6.

GCF(9768,9774) = 6

GCF of 9768 and 9774

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

GCF of:
and

Greatest Common Factor of 9768 and 9774

GCF of 9768 and 9774 is 6

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

Prime Factorization of 9774


2 9774
3 4887
3 1629
3 543
181 181
1

Prime factors of 9774 are 2,3,181. Prime factorization of 9774 in exponential form is:

9774 = 21×33×1811

∴ So by taking common prime factors GCF of 9768 and 9774 is 6

Greatest Common Factor of 9768 and 9774 by matching factors method

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

Factors of 9774

List of positive integer factors of 9774 that divides 9774 without a remainder.

1,2,3,6,9,18,27,54,181,362,543,1086,1629,3258,4887,9774

Greatest Common Factor

We found the factors and prime factorization of 9768 and 9774. The biggest common factor number is the GCF number.
So the greatest common factor 9768 and 9774 is 6.

Also check out the Least Common Multiple of 9768 and 9774

Properties of GCF 9768 and 9774

(i) The GCF of 9768 and 9774 is associative

GCF of 9768 and 9774 = GCF of 9774 and 9768

Related Greatest Common Factor of 9768

Related Greatest Common Factor of 9774

Frequently Asked Questions on GCF of 9768 and 9774

1. What is the GCF of 9768 and 9774?

Answer: GCF of 9768 and 9774 is 6.

2. 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.

3. What are the Factors of 9774?

Answer: Factors of 9774 are 1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887, 9774. There are 16 integers that are factors of 9774. The greatest factor of 9774 is 9774.

4. How to Find the GCF of 9768 and 9774?

Answer:

Greatest Common Factor of 9768 and 9774 = 6

Step 1: Find the prime factorization of 9768

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

Step 2: Find the prime factorization of 9774

9774 = 2 x 3 x 3 x 3 x 181

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9768 and 9774 is 6