Greatest Common Factor of 9774 and 9780

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 9774, 9780 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9774 and 9780 is 6.

GCF(9774,9780) = 6

GCF of 9774 and 9780

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

GCF of:
and

Greatest Common Factor of 9774 and 9780

GCF of 9774 and 9780 is 6

Prime Factorization of 9774


2 9774
3 4887
3 1629
3 543
181 181
1

Prime factors of 9774 are 2,3,181. Prime factorization of 9774 in exponential form is:

9774 = 21×33×1811

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

∴ So by taking common prime factors GCF of 9774 and 9780 is 6

Greatest Common Factor of 9774 and 9780 by matching factors method

Factors of 9774

List of positive integer factors of 9774 that divides 9774 without a remainder.

1,2,3,6,9,18,27,54,181,362,543,1086,1629,3258,4887,9774

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

Greatest Common Factor

We found the factors and prime factorization of 9774 and 9780. The biggest common factor number is the GCF number.
So the greatest common factor 9774 and 9780 is 6.

Also check out the Least Common Multiple of 9774 and 9780

Properties of GCF 9774 and 9780

(i) The GCF of 9774 and 9780 is associative

GCF of 9774 and 9780 = GCF of 9780 and 9774

Related Greatest Common Factor of 9774

Related Greatest Common Factor of 9780

Frequently Asked Questions on GCF of 9774 and 9780

1. What is the GCF of 9774 and 9780?

Answer: GCF of 9774 and 9780 is 6.

2. What are the Factors of 9774?

Answer: Factors of 9774 are 1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887, 9774. There are 16 integers that are factors of 9774. The greatest factor of 9774 is 9774.

3. 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.

4. How to Find the GCF of 9774 and 9780?

Answer:

Greatest Common Factor of 9774 and 9780 = 6

Step 1: Find the prime factorization of 9774

9774 = 2 x 3 x 3 x 3 x 181

Step 2: Find the prime factorization of 9780

9780 = 2 x 2 x 3 x 5 x 163

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 9774 and 9780 is 6