Greatest Common Factor of 9720 and 9725

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, 9725 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9720 and 9725 is 5.

GCF(9720,9725) = 5

GCF of 9720 and 9725

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

GCF of:
and

Greatest Common Factor of 9720 and 9725

GCF of 9720 and 9725 is 5

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 9725


5 9725
5 1945
389 389
1

Prime factors of 9725 are 5,389. Prime factorization of 9725 in exponential form is:

9725 = 52×3891

∴ So by taking common prime factors GCF of 9720 and 9725 is 5

Greatest Common Factor of 9720 and 9725 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 9725

List of positive integer factors of 9725 that divides 9725 without a remainder.

1,5,25,389,1945,9725

Greatest Common Factor

We found the factors and prime factorization of 9720 and 9725. The biggest common factor number is the GCF number.
So the greatest common factor 9720 and 9725 is 5.

Also check out the Least Common Multiple of 9720 and 9725

Properties of GCF 9720 and 9725

(i) The GCF of 9720 and 9725 is associative

GCF of 9720 and 9725 = GCF of 9725 and 9720

Related Greatest Common Factor of 9720

Related Greatest Common Factor of 9725

Frequently Asked Questions on GCF of 9720 and 9725

1. What is the GCF of 9720 and 9725?

Answer: GCF of 9720 and 9725 is 5.

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 9725?

Answer: Factors of 9725 are 1, 5, 25, 389, 1945, 9725. There are 6 integers that are factors of 9725. The greatest factor of 9725 is 9725.

4. How to Find the GCF of 9720 and 9725?

Answer:

Greatest Common Factor of 9720 and 9725 = 5

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 9725

9725 = 5 x 5 x 389

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9720 and 9725 is 5