Greatest Common Factor of 9750 and 9756

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 9750, 9756 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9750 and 9756 is 6.

GCF(9750,9756) = 6

GCF of 9750 and 9756

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

GCF of:
and

Greatest Common Factor of 9750 and 9756

GCF of 9750 and 9756 is 6

Prime Factorization of 9750


2 9750
3 4875
5 1625
5 325
5 65
13 13
1

Prime factors of 9750 are 2,3,5,13. Prime factorization of 9750 in exponential form is:

9750 = 21×31×53×131

Prime Factorization of 9756


2 9756
2 4878
3 2439
3 813
271 271
1

Prime factors of 9756 are 2,3,271. Prime factorization of 9756 in exponential form is:

9756 = 22×32×2711

∴ So by taking common prime factors GCF of 9750 and 9756 is 6

Greatest Common Factor of 9750 and 9756 by matching factors method

Factors of 9750

List of positive integer factors of 9750 that divides 9750 without a remainder.

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,125,130,150,195,250,325,375,390,650,750,975,1625,1950,3250,4875,9750

Factors of 9756

List of positive integer factors of 9756 that divides 9756 without a remainder.

1,2,3,4,6,9,12,18,36,271,542,813,1084,1626,2439,3252,4878,9756

Greatest Common Factor

We found the factors and prime factorization of 9750 and 9756. The biggest common factor number is the GCF number.
So the greatest common factor 9750 and 9756 is 6.

Also check out the Least Common Multiple of 9750 and 9756

Properties of GCF 9750 and 9756

(i) The GCF of 9750 and 9756 is associative

GCF of 9750 and 9756 = GCF of 9756 and 9750

Related Greatest Common Factor of 9750

Related Greatest Common Factor of 9756

Frequently Asked Questions on GCF of 9750 and 9756

1. What is the GCF of 9750 and 9756?

Answer: GCF of 9750 and 9756 is 6.

2. What are the Factors of 9750?

Answer: Factors of 9750 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750. There are 32 integers that are factors of 9750. The greatest factor of 9750 is 9750.

3. What are the Factors of 9756?

Answer: Factors of 9756 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 9756. There are 18 integers that are factors of 9756. The greatest factor of 9756 is 9756.

4. How to Find the GCF of 9750 and 9756?

Answer:

Greatest Common Factor of 9750 and 9756 = 6

Step 1: Find the prime factorization of 9750

9750 = 2 x 3 x 5 x 5 x 5 x 13

Step 2: Find the prime factorization of 9756

9756 = 2 x 2 x 3 x 3 x 271

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 9750 and 9756 is 6