Greatest Common Factor of 9756 and 9762

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 9756, 9762 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9756 and 9762 is 6.

GCF(9756,9762) = 6

GCF of 9756 and 9762

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

GCF of:
and

Greatest Common Factor of 9756 and 9762

GCF of 9756 and 9762 is 6

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

Prime Factorization of 9762


2 9762
3 4881
1627 1627
1

Prime factors of 9762 are 2,3,1627. Prime factorization of 9762 in exponential form is:

9762 = 21×31×16271

∴ So by taking common prime factors GCF of 9756 and 9762 is 6

Greatest Common Factor of 9756 and 9762 by matching factors method

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

Factors of 9762

List of positive integer factors of 9762 that divides 9762 without a remainder.

1,2,3,6,1627,3254,4881,9762

Greatest Common Factor

We found the factors and prime factorization of 9756 and 9762. The biggest common factor number is the GCF number.
So the greatest common factor 9756 and 9762 is 6.

Also check out the Least Common Multiple of 9756 and 9762

Properties of GCF 9756 and 9762

(i) The GCF of 9756 and 9762 is associative

GCF of 9756 and 9762 = GCF of 9762 and 9756

Related Greatest Common Factor of 9756

Related Greatest Common Factor of 9762

Frequently Asked Questions on GCF of 9756 and 9762

1. What is the GCF of 9756 and 9762?

Answer: GCF of 9756 and 9762 is 6.

2. 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.

3. What are the Factors of 9762?

Answer: Factors of 9762 are 1, 2, 3, 6, 1627, 3254, 4881, 9762. There are 8 integers that are factors of 9762. The greatest factor of 9762 is 9762.

4. How to Find the GCF of 9756 and 9762?

Answer:

Greatest Common Factor of 9756 and 9762 = 6

Step 1: Find the prime factorization of 9756

9756 = 2 x 2 x 3 x 3 x 271

Step 2: Find the prime factorization of 9762

9762 = 2 x 3 x 1627

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 9756 and 9762 is 6