Greatest Common Factor of 9791 and 9797

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 9791, 9797 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9791 and 9797 is 1.

GCF(9791,9797) = 1

GCF of 9791 and 9797

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

GCF of:
and

Greatest Common Factor of 9791 and 9797

GCF of 9791 and 9797 is 1

Prime Factorization of 9791


9791 9791
1

Prime factors of 9791 are 9791. Prime factorization of 9791 in exponential form is:

9791 = 97911

Prime Factorization of 9797


97 9797
101 101
1

Prime factors of 9797 are 97.Prime factorization of 9797 in exponential form is:

9797 = 971×1011

∴ So by taking common prime factors GCF of 9791 and 9797 is 1

Greatest Common Factor of 9791 and 9797 by matching factors method

Factors of 9791

List of positive integer factors of 9791 that divides 9791 without a remainder.

1,9791

Factors of 9797

List of positive integer factors of 9797 that divides 9797 without a remainder.

1,97,101,9797

Greatest Common Factor

We found the factors and prime factorization of 9791 and 9797. The biggest common factor number is the GCF number.
So the greatest common factor 9791 and 9797 is 1.

Also check out the Least Common Multiple of 9791 and 9797

Properties of GCF 9791 and 9797

(i) The GCF of 9791 and 9797 is associative

GCF of 9791 and 9797 = GCF of 9797 and 9791

Related Greatest Common Factor of 9791

Related Greatest Common Factor of 9797

Frequently Asked Questions on GCF of 9791 and 9797

1. What is the GCF of 9791 and 9797?

Answer: GCF of 9791 and 9797 is 1.

2. What are the Factors of 9791?

Answer: Factors of 9791 are 1, 9791. There are 2 integers that are factors of 9791. The greatest factor of 9791 is 9791.

3. What are the Factors of 9797?

Answer: Factors of 9797 are 1, 97, 101, 9797. There are 4 integers that are factors of 9797. The greatest factor of 9797 is 9797.

4. How to Find the GCF of 9791 and 9797?

Answer:

Greatest Common Factor of 9791 and 9797 = 1

Step 1: Find the prime factorization of 9791

9791 = 9791

Step 2: Find the prime factorization of 9797

9797 = 97 x 101

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 9791 and 9797 is 1