Greatest Common Factor of 9720 and 9724

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, 9724 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9720 and 9724 is 4.

GCF(9720,9724) = 4

GCF of 9720 and 9724

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

GCF of:
and

Greatest Common Factor of 9720 and 9724

GCF of 9720 and 9724 is 4

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 9724


2 9724
2 4862
11 2431
13 221
17 17
1

Prime factors of 9724 are 2,11,13,17. Prime factorization of 9724 in exponential form is:

9724 = 22×111×131×171

∴ So by taking common prime factors GCF of 9720 and 9724 is 4

Greatest Common Factor of 9720 and 9724 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 9724

List of positive integer factors of 9724 that divides 9724 without a remainder.

1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724

Greatest Common Factor

We found the factors and prime factorization of 9720 and 9724. The biggest common factor number is the GCF number.
So the greatest common factor 9720 and 9724 is 4.

Also check out the Least Common Multiple of 9720 and 9724

Properties of GCF 9720 and 9724

(i) The GCF of 9720 and 9724 is associative

GCF of 9720 and 9724 = GCF of 9724 and 9720

Related Greatest Common Factor of 9720

Related Greatest Common Factor of 9724

Frequently Asked Questions on GCF of 9720 and 9724

1. What is the GCF of 9720 and 9724?

Answer: GCF of 9720 and 9724 is 4.

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 9724?

Answer: Factors of 9724 are 1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724. There are 24 integers that are factors of 9724. The greatest factor of 9724 is 9724.

4. How to Find the GCF of 9720 and 9724?

Answer:

Greatest Common Factor of 9720 and 9724 = 4

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 9724

9724 = 2 x 2 x 11 x 13 x 17

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9720 and 9724 is 4