Greatest Common Factor of 9770 and 9775

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 9770, 9775 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9770 and 9775 is 5.

GCF(9770,9775) = 5

GCF of 9770 and 9775

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

GCF of:
and

Greatest Common Factor of 9770 and 9775

GCF of 9770 and 9775 is 5

Prime Factorization of 9770


2 9770
5 4885
977 977
1

Prime factors of 9770 are 2,5,977. Prime factorization of 9770 in exponential form is:

9770 = 21×51×9771

Prime Factorization of 9775


5 9775
5 1955
17 391
23 23
1

Prime factors of 9775 are 5,17,23. Prime factorization of 9775 in exponential form is:

9775 = 52×171×231

∴ So by taking common prime factors GCF of 9770 and 9775 is 5

Greatest Common Factor of 9770 and 9775 by matching factors method

Factors of 9770

List of positive integer factors of 9770 that divides 9770 without a remainder.

1,2,5,10,977,1954,4885,9770

Factors of 9775

List of positive integer factors of 9775 that divides 9775 without a remainder.

1,5,17,23,25,85,115,391,425,575,1955,9775

Greatest Common Factor

We found the factors and prime factorization of 9770 and 9775. The biggest common factor number is the GCF number.
So the greatest common factor 9770 and 9775 is 5.

Also check out the Least Common Multiple of 9770 and 9775

Properties of GCF 9770 and 9775

(i) The GCF of 9770 and 9775 is associative

GCF of 9770 and 9775 = GCF of 9775 and 9770

Related Greatest Common Factor of 9770

Related Greatest Common Factor of 9775

Frequently Asked Questions on GCF of 9770 and 9775

1. What is the GCF of 9770 and 9775?

Answer: GCF of 9770 and 9775 is 5.

2. What are the Factors of 9770?

Answer: Factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770. There are 8 integers that are factors of 9770. The greatest factor of 9770 is 9770.

3. What are the Factors of 9775?

Answer: Factors of 9775 are 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775. There are 12 integers that are factors of 9775. The greatest factor of 9775 is 9775.

4. How to Find the GCF of 9770 and 9775?

Answer:

Greatest Common Factor of 9770 and 9775 = 5

Step 1: Find the prime factorization of 9770

9770 = 2 x 5 x 977

Step 2: Find the prime factorization of 9775

9775 = 5 x 5 x 17 x 23

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9770 and 9775 is 5