Greatest Common Factor of 9780 and 9786

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 9780, 9786 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9780 and 9786 is 6.

GCF(9780,9786) = 6

GCF of 9780 and 9786

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

GCF of:
and

Greatest Common Factor of 9780 and 9786

GCF of 9780 and 9786 is 6

Prime Factorization of 9780


2 9780
2 4890
3 2445
5 815
163 163
1

Prime factors of 9780 are 2,3,5,163. Prime factorization of 9780 in exponential form is:

9780 = 22×31×51×1631

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

∴ So by taking common prime factors GCF of 9780 and 9786 is 6

Greatest Common Factor of 9780 and 9786 by matching factors method

Factors of 9780

List of positive integer factors of 9780 that divides 9780 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780

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

Greatest Common Factor

We found the factors and prime factorization of 9780 and 9786. The biggest common factor number is the GCF number.
So the greatest common factor 9780 and 9786 is 6.

Also check out the Least Common Multiple of 9780 and 9786

Properties of GCF 9780 and 9786

(i) The GCF of 9780 and 9786 is associative

GCF of 9780 and 9786 = GCF of 9786 and 9780

Related Greatest Common Factor of 9780

Related Greatest Common Factor of 9786

Frequently Asked Questions on GCF of 9780 and 9786

1. What is the GCF of 9780 and 9786?

Answer: GCF of 9780 and 9786 is 6.

2. What are the Factors of 9780?

Answer: Factors of 9780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780. There are 24 integers that are factors of 9780. The greatest factor of 9780 is 9780.

3. 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.

4. How to Find the GCF of 9780 and 9786?

Answer:

Greatest Common Factor of 9780 and 9786 = 6

Step 1: Find the prime factorization of 9780

9780 = 2 x 2 x 3 x 5 x 163

Step 2: Find the prime factorization of 9786

9786 = 2 x 3 x 7 x 233

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 9780 and 9786 is 6