Greatest Common Factor of 9786 and 9790

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, 9790 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9786 and 9790 is 2.

GCF(9786,9790) = 2

GCF of 9786 and 9790

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

GCF of:
and

Greatest Common Factor of 9786 and 9790

GCF of 9786 and 9790 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 9790


2 9790
5 4895
11 979
89 89
1

Prime factors of 9790 are 2,5,11,89. Prime factorization of 9790 in exponential form is:

9790 = 21×51×111×891

∴ So by taking common prime factors GCF of 9786 and 9790 is 2

Greatest Common Factor of 9786 and 9790 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 9790

List of positive integer factors of 9790 that divides 9790 without a remainder.

1,2,5,10,11,22,55,89,110,178,445,890,979,1958,4895,9790

Greatest Common Factor

We found the factors and prime factorization of 9786 and 9790. The biggest common factor number is the GCF number.
So the greatest common factor 9786 and 9790 is 2.

Also check out the Least Common Multiple of 9786 and 9790

Properties of GCF 9786 and 9790

(i) The GCF of 9786 and 9790 is associative

GCF of 9786 and 9790 = GCF of 9790 and 9786

Related Greatest Common Factor of 9786

Related Greatest Common Factor of 9790

Frequently Asked Questions on GCF of 9786 and 9790

1. What is the GCF of 9786 and 9790?

Answer: GCF of 9786 and 9790 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 9790?

Answer: Factors of 9790 are 1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790. There are 16 integers that are factors of 9790. The greatest factor of 9790 is 9790.

4. How to Find the GCF of 9786 and 9790?

Answer:

Greatest Common Factor of 9786 and 9790 = 2

Step 1: Find the prime factorization of 9786

9786 = 2 x 3 x 7 x 233

Step 2: Find the prime factorization of 9790

9790 = 2 x 5 x 11 x 89

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 9790 is 2