Greatest Common Factor of 1794 and 1797

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 1794, 1797 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1794 and 1797 is 3.

GCF(1794,1797) = 3

GCF of 1794 and 1797

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

GCF of:
and

Greatest Common Factor of 1794 and 1797

GCF of 1794 and 1797 is 3

Prime Factorization of 1794


2 1794
3 897
13 299
23 23
1

Prime factors of 1794 are 2,3,13,23. Prime factorization of 1794 in exponential form is:

1794 = 21×31×131×231

Prime Factorization of 1797


3 1797
599 599
1

Prime factors of 1797 are 3,599. Prime factorization of 1797 in exponential form is:

1797 = 31×5991

∴ So by taking common prime factors GCF of 1794 and 1797 is 3

Greatest Common Factor of 1794 and 1797 by matching factors method

Factors of 1794

List of positive integer factors of 1794 that divides 1794 without a remainder.

1,2,3,6,13,23,26,39,46,69,78,138,299,598,897,1794

Factors of 1797

List of positive integer factors of 1797 that divides 1797 without a remainder.

1,3,599,1797

Greatest Common Factor

We found the factors and prime factorization of 1794 and 1797. The biggest common factor number is the GCF number.
So the greatest common factor 1794 and 1797 is 3.

Also check out the Least Common Multiple of 1794 and 1797

Properties of GCF 1794 and 1797

(i) The GCF of 1794 and 1797 is associative

GCF of 1794 and 1797 = GCF of 1797 and 1794

Related Greatest Common Factor of 1794

Related Greatest Common Factor of 1797

Frequently Asked Questions on GCF of 1794 and 1797

1. What is the GCF of 1794 and 1797?

Answer: GCF of 1794 and 1797 is 3.

2. What are the Factors of 1794?

Answer: Factors of 1794 are 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897, 1794. There are 16 integers that are factors of 1794. The greatest factor of 1794 is 1794.

3. What are the Factors of 1797?

Answer: Factors of 1797 are 1, 3, 599, 1797. There are 4 integers that are factors of 1797. The greatest factor of 1797 is 1797.

4. How to Find the GCF of 1794 and 1797?

Answer:

Greatest Common Factor of 1794 and 1797 = 3

Step 1: Find the prime factorization of 1794

1794 = 2 x 3 x 13 x 23

Step 2: Find the prime factorization of 1797

1797 = 3 x 599

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1794 and 1797 is 3