Greatest Common Factor of 7789 and 7797

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 7789, 7797 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7789 and 7797 is 1.

GCF(7789,7797) = 1

GCF of 7789 and 7797

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

GCF of:
and

Greatest Common Factor of 7789 and 7797

GCF of 7789 and 7797 is 1

Prime Factorization of 7789


7789 7789
1

Prime factors of 7789 are 7789. Prime factorization of 7789 in exponential form is:

7789 = 77891

Prime Factorization of 7797


3 7797
23 2599
113 113
1

Prime factors of 7797 are 3.Prime factorization of 7797 in exponential form is:

7797 = 31×231×1131

∴ So by taking common prime factors GCF of 7789 and 7797 is 1

Greatest Common Factor of 7789 and 7797 by matching factors method

Factors of 7789

List of positive integer factors of 7789 that divides 7789 without a remainder.

1,7789

Factors of 7797

List of positive integer factors of 7797 that divides 7797 without a remainder.

1,3,23,69,113,339,2599,7797

Greatest Common Factor

We found the factors and prime factorization of 7789 and 7797. The biggest common factor number is the GCF number.
So the greatest common factor 7789 and 7797 is 1.

Also check out the Least Common Multiple of 7789 and 7797

Properties of GCF 7789 and 7797

(i) The GCF of 7789 and 7797 is associative

GCF of 7789 and 7797 = GCF of 7797 and 7789

Frequently Asked Questions on GCF of 7789 and 7797

1. What is the GCF of 7789 and 7797?

Answer: GCF of 7789 and 7797 is 1.

2. What are the Factors of 7789?

Answer: Factors of 7789 are 1, 7789. There are 2 integers that are factors of 7789. The greatest factor of 7789 is 7789.

3. What are the Factors of 7797?

Answer: Factors of 7797 are 1, 3, 23, 69, 113, 339, 2599, 7797. There are 8 integers that are factors of 7797. The greatest factor of 7797 is 7797.

4. How to Find the GCF of 7789 and 7797?

Answer:

Greatest Common Factor of 7789 and 7797 = 1

Step 1: Find the prime factorization of 7789

7789 = 7789

Step 2: Find the prime factorization of 7797

7797 = 3 x 23 x 113

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 7789 and 7797 is 1