Greatest Common Factor of 9789 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 9789, 9797 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9789 and 9797 is 1.

GCF(9789,9797) = 1

GCF of 9789 and 9797

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

GCF of:
and

Greatest Common Factor of 9789 and 9797

GCF of 9789 and 9797 is 1

Prime Factorization of 9789


3 9789
13 3263
251 251
1

Prime factors of 9789 are 3,13,251. Prime factorization of 9789 in exponential form is:

9789 = 31×131×2511

Prime Factorization of 9797


97 9797
101 101
1

Prime factors of 9797 are 97,101. Prime factorization of 9797 in exponential form is:

9797 = 971×1011

∴ So by taking common prime factors GCF of 9789 and 9797 is 1

Greatest Common Factor of 9789 and 9797 by matching factors method

Factors of 9789

List of positive integer factors of 9789 that divides 9789 without a remainder.

1,3,13,39,251,753,3263,9789

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 9789 and 9797. The biggest common factor number is the GCF number.
So the greatest common factor 9789 and 9797 is 1.

Also check out the Least Common Multiple of 9789 and 9797

Properties of GCF 9789 and 9797

(i) The GCF of 9789 and 9797 is associative

GCF of 9789 and 9797 = GCF of 9797 and 9789

Related Greatest Common Factor of 9789

Related Greatest Common Factor of 9797

Frequently Asked Questions on GCF of 9789 and 9797

1. What is the GCF of 9789 and 9797?

Answer: GCF of 9789 and 9797 is 1.

2. What are the Factors of 9789?

Answer: Factors of 9789 are 1, 3, 13, 39, 251, 753, 3263, 9789. There are 8 integers that are factors of 9789. The greatest factor of 9789 is 9789.

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 9789 and 9797?

Answer:

Greatest Common Factor of 9789 and 9797 = 1

Step 1: Find the prime factorization of 9789

9789 = 3 x 13 x 251

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 9789 and 9797 is 1