Greatest Common Factor of 9778 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 9778, 9782 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9778 and 9782 is 2.

GCF(9778,9782) = 2

GCF of 9778 and 9782

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

GCF of:
and

Greatest Common Factor of 9778 and 9782

GCF of 9778 and 9782 is 2

Prime Factorization of 9778


2 9778
4889 4889
1

Prime factors of 9778 are 2,4889. Prime factorization of 9778 in exponential form is:

9778 = 21×48891

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 9778 and 9782 is 2

Greatest Common Factor of 9778 and 9782 by matching factors method

Factors of 9778

List of positive integer factors of 9778 that divides 9778 without a remainder.

1,2,4889,9778

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 9778 and 9782. The biggest common factor number is the GCF number.
So the greatest common factor 9778 and 9782 is 2.

Also check out the Least Common Multiple of 9778 and 9782

Properties of GCF 9778 and 9782

(i) The GCF of 9778 and 9782 is associative

GCF of 9778 and 9782 = GCF of 9782 and 9778

Related Greatest Common Factor of 9778

Related Greatest Common Factor of 9782

Frequently Asked Questions on GCF of 9778 and 9782

1. What is the GCF of 9778 and 9782?

Answer: GCF of 9778 and 9782 is 2.

2. What are the Factors of 9778?

Answer: Factors of 9778 are 1, 2, 4889, 9778. There are 4 integers that are factors of 9778. The greatest factor of 9778 is 9778.

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 9778 and 9782?

Answer:

Greatest Common Factor of 9778 and 9782 = 2

Step 1: Find the prime factorization of 9778

9778 = 2 x 4889

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 9778 and 9782 is 2