Greatest Common Factor of 9771 and 9777

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 9771, 9777 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9771 and 9777 is 3.

GCF(9771,9777) = 3

GCF of 9771 and 9777

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

GCF of:
and

Greatest Common Factor of 9771 and 9777

GCF of 9771 and 9777 is 3

Prime Factorization of 9771


3 9771
3257 3257
1

Prime factors of 9771 are 3,3257. Prime factorization of 9771 in exponential form is:

9771 = 31×32571

Prime Factorization of 9777


3 9777
3259 3259
1

Prime factors of 9777 are 3,3259. Prime factorization of 9777 in exponential form is:

9777 = 31×32591

∴ So by taking common prime factors GCF of 9771 and 9777 is 3

Greatest Common Factor of 9771 and 9777 by matching factors method

Factors of 9771

List of positive integer factors of 9771 that divides 9771 without a remainder.

1,3,3257,9771

Factors of 9777

List of positive integer factors of 9777 that divides 9777 without a remainder.

1,3,3259,9777

Greatest Common Factor

We found the factors and prime factorization of 9771 and 9777. The biggest common factor number is the GCF number.
So the greatest common factor 9771 and 9777 is 3.

Also check out the Least Common Multiple of 9771 and 9777

Properties of GCF 9771 and 9777

(i) The GCF of 9771 and 9777 is associative

GCF of 9771 and 9777 = GCF of 9777 and 9771

Related Greatest Common Factor of 9771

Related Greatest Common Factor of 9777

Frequently Asked Questions on GCF of 9771 and 9777

1. What is the GCF of 9771 and 9777?

Answer: GCF of 9771 and 9777 is 3.

2. What are the Factors of 9771?

Answer: Factors of 9771 are 1, 3, 3257, 9771. There are 4 integers that are factors of 9771. The greatest factor of 9771 is 9771.

3. What are the Factors of 9777?

Answer: Factors of 9777 are 1, 3, 3259, 9777. There are 4 integers that are factors of 9777. The greatest factor of 9777 is 9777.

4. How to Find the GCF of 9771 and 9777?

Answer:

Greatest Common Factor of 9771 and 9777 = 3

Step 1: Find the prime factorization of 9771

9771 = 3 x 3257

Step 2: Find the prime factorization of 9777

9777 = 3 x 3259

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 9771 and 9777 is 3