Greatest Common Factor of 9720 and 9728

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 9720, 9728 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9720 and 9728 is 8.

GCF(9720,9728) = 8

GCF of 9720 and 9728

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

GCF of:
and

Greatest Common Factor of 9720 and 9728

GCF of 9720 and 9728 is 8

Prime Factorization of 9720


2 9720
2 4860
2 2430
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 9720 are 2,3,5. Prime factorization of 9720 in exponential form is:

9720 = 23×35×51

Prime Factorization of 9728


2 9728
2 4864
2 2432
2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 9728 are 2,19. Prime factorization of 9728 in exponential form is:

9728 = 29×191

∴ So by taking common prime factors GCF of 9720 and 9728 is 8

Greatest Common Factor of 9720 and 9728 by matching factors method

Factors of 9720

List of positive integer factors of 9720 that divides 9720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720

Factors of 9728

List of positive integer factors of 9728 that divides 9728 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728

Greatest Common Factor

We found the factors and prime factorization of 9720 and 9728. The biggest common factor number is the GCF number.
So the greatest common factor 9720 and 9728 is 8.

Also check out the Least Common Multiple of 9720 and 9728

Properties of GCF 9720 and 9728

(i) The GCF of 9720 and 9728 is associative

GCF of 9720 and 9728 = GCF of 9728 and 9720

Related Greatest Common Factor of 9720

Related Greatest Common Factor of 9728

Frequently Asked Questions on GCF of 9720 and 9728

1. What is the GCF of 9720 and 9728?

Answer: GCF of 9720 and 9728 is 8.

2. What are the Factors of 9720?

Answer: Factors of 9720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 810, 972, 1080, 1215, 1620, 1944, 2430, 3240, 4860, 9720. There are 48 integers that are factors of 9720. The greatest factor of 9720 is 9720.

3. What are the Factors of 9728?

Answer: Factors of 9728 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 512, 608, 1216, 2432, 4864, 9728. There are 20 integers that are factors of 9728. The greatest factor of 9728 is 9728.

4. How to Find the GCF of 9720 and 9728?

Answer:

Greatest Common Factor of 9720 and 9728 = 8

Step 1: Find the prime factorization of 9720

9720 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 9728

9728 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19

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 9720 and 9728 is 8