Greatest Common Factor of 9775 and 9781

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 9775, 9781 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9775 and 9781 is 1.

GCF(9775,9781) = 1

GCF of 9775 and 9781

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

GCF of:
and

Greatest Common Factor of 9775 and 9781

GCF of 9775 and 9781 is 1

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

Prime Factorization of 9781


9781 9781
1

Prime factors of 9781 are 9781. Prime factorization of 9781 in exponential form is:

9781 = 97811

∴ So by taking common prime factors GCF of 9775 and 9781 is 1

Greatest Common Factor of 9775 and 9781 by matching factors method

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

Factors of 9781

List of positive integer factors of 9781 that divides 9781 without a remainder.

1,9781

Greatest Common Factor

We found the factors and prime factorization of 9775 and 9781. The biggest common factor number is the GCF number.
So the greatest common factor 9775 and 9781 is 1.

Also check out the Least Common Multiple of 9775 and 9781

Properties of GCF 9775 and 9781

(i) The GCF of 9775 and 9781 is associative

GCF of 9775 and 9781 = GCF of 9781 and 9775

Related Greatest Common Factor of 9775

Related Greatest Common Factor of 9781

Frequently Asked Questions on GCF of 9775 and 9781

1. What is the GCF of 9775 and 9781?

Answer: GCF of 9775 and 9781 is 1.

2. 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.

3. What are the Factors of 9781?

Answer: Factors of 9781 are 1, 9781. There are 2 integers that are factors of 9781. The greatest factor of 9781 is 9781.

4. How to Find the GCF of 9775 and 9781?

Answer:

Greatest Common Factor of 9775 and 9781 = 1

Step 1: Find the prime factorization of 9775

9775 = 5 x 5 x 17 x 23

Step 2: Find the prime factorization of 9781

9781 = 9781

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9775 and 9781 is 1