Greatest Common Factor of 9774 and 9782

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, 9782 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9774 and 9782 is 2.

GCF(9774,9782) = 2

GCF of 9774 and 9782

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

GCF of:
and

Greatest Common Factor of 9774 and 9782

GCF of 9774 and 9782 is 2

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 9782


2 9782
67 4891
73 73
1

Prime factors of 9782 are 2,67,73. Prime factorization of 9782 in exponential form is:

9782 = 21×671×731

∴ So by taking common prime factors GCF of 9774 and 9782 is 2

Greatest Common Factor of 9774 and 9782 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 9782

List of positive integer factors of 9782 that divides 9782 without a remainder.

1,2,67,73,134,146,4891,9782

Greatest Common Factor

We found the factors and prime factorization of 9774 and 9782. The biggest common factor number is the GCF number.
So the greatest common factor 9774 and 9782 is 2.

Also check out the Least Common Multiple of 9774 and 9782

Properties of GCF 9774 and 9782

(i) The GCF of 9774 and 9782 is associative

GCF of 9774 and 9782 = GCF of 9782 and 9774

Related Greatest Common Factor of 9774

Related Greatest Common Factor of 9782

Frequently Asked Questions on GCF of 9774 and 9782

1. What is the GCF of 9774 and 9782?

Answer: GCF of 9774 and 9782 is 2.

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 9782?

Answer: Factors of 9782 are 1, 2, 67, 73, 134, 146, 4891, 9782. There are 8 integers that are factors of 9782. The greatest factor of 9782 is 9782.

4. How to Find the GCF of 9774 and 9782?

Answer:

Greatest Common Factor of 9774 and 9782 = 2

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 9782

9782 = 2 x 67 x 73

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 9774 and 9782 is 2