Greatest Common Factor of 9714 and 9720

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 9714, 9720 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9714 and 9720 is 6.

GCF(9714,9720) = 6

GCF of 9714 and 9720

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

GCF of:
and

Greatest Common Factor of 9714 and 9720

GCF of 9714 and 9720 is 6

Prime Factorization of 9714


2 9714
3 4857
1619 1619
1

Prime factors of 9714 are 2,3,1619. Prime factorization of 9714 in exponential form is:

9714 = 21×31×16191

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

∴ So by taking common prime factors GCF of 9714 and 9720 is 6

Greatest Common Factor of 9714 and 9720 by matching factors method

Factors of 9714

List of positive integer factors of 9714 that divides 9714 without a remainder.

1,2,3,6,1619,3238,4857,9714

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

Greatest Common Factor

We found the factors and prime factorization of 9714 and 9720. The biggest common factor number is the GCF number.
So the greatest common factor 9714 and 9720 is 6.

Also check out the Least Common Multiple of 9714 and 9720

Properties of GCF 9714 and 9720

(i) The GCF of 9714 and 9720 is associative

GCF of 9714 and 9720 = GCF of 9720 and 9714

Related Greatest Common Factor of 9714

Related Greatest Common Factor of 9720

Frequently Asked Questions on GCF of 9714 and 9720

1. What is the GCF of 9714 and 9720?

Answer: GCF of 9714 and 9720 is 6.

2. What are the Factors of 9714?

Answer: Factors of 9714 are 1, 2, 3, 6, 1619, 3238, 4857, 9714. There are 8 integers that are factors of 9714. The greatest factor of 9714 is 9714.

3. 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.

4. How to Find the GCF of 9714 and 9720?

Answer:

Greatest Common Factor of 9714 and 9720 = 6

Step 1: Find the prime factorization of 9714

9714 = 2 x 3 x 1619

Step 2: 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 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 9714 and 9720 is 6