Greatest Common Factor of 9786 and 9788

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 9786, 9788 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9786 and 9788 is 2.

GCF(9786,9788) = 2

GCF of 9786 and 9788

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

GCF of:
and

Greatest Common Factor of 9786 and 9788

GCF of 9786 and 9788 is 2

Prime Factorization of 9786


2 9786
3 4893
7 1631
233 233
1

Prime factors of 9786 are 2,3,7,233. Prime factorization of 9786 in exponential form is:

9786 = 21×31×71×2331

Prime Factorization of 9788


2 9788
2 4894
2447 2447
1

Prime factors of 9788 are 2,2447. Prime factorization of 9788 in exponential form is:

9788 = 22×24471

∴ So by taking common prime factors GCF of 9786 and 9788 is 2

Greatest Common Factor of 9786 and 9788 by matching factors method

Factors of 9786

List of positive integer factors of 9786 that divides 9786 without a remainder.

1,2,3,6,7,14,21,42,233,466,699,1398,1631,3262,4893,9786

Factors of 9788

List of positive integer factors of 9788 that divides 9788 without a remainder.

1,2,4,2447,4894,9788

Greatest Common Factor

We found the factors and prime factorization of 9786 and 9788. The biggest common factor number is the GCF number.
So the greatest common factor 9786 and 9788 is 2.

Also check out the Least Common Multiple of 9786 and 9788

Properties of GCF 9786 and 9788

(i) The GCF of 9786 and 9788 is associative

GCF of 9786 and 9788 = GCF of 9788 and 9786

Related Greatest Common Factor of 9786

Related Greatest Common Factor of 9788

Frequently Asked Questions on GCF of 9786 and 9788

1. What is the GCF of 9786 and 9788?

Answer: GCF of 9786 and 9788 is 2.

2. What are the Factors of 9786?

Answer: Factors of 9786 are 1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786. There are 16 integers that are factors of 9786. The greatest factor of 9786 is 9786.

3. What are the Factors of 9788?

Answer: Factors of 9788 are 1, 2, 4, 2447, 4894, 9788. There are 6 integers that are factors of 9788. The greatest factor of 9788 is 9788.

4. How to Find the GCF of 9786 and 9788?

Answer:

Greatest Common Factor of 9786 and 9788 = 2

Step 1: Find the prime factorization of 9786

9786 = 2 x 3 x 7 x 233

Step 2: Find the prime factorization of 9788

9788 = 2 x 2 x 2447

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9786 and 9788 is 2