Greatest Common Factor of 5787 and 5793

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 5787, 5793 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5787 and 5793 is 3.

GCF(5787,5793) = 3

GCF of 5787 and 5793

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

GCF of:
and

Greatest Common Factor of 5787 and 5793

GCF of 5787 and 5793 is 3

Prime Factorization of 5787


3 5787
3 1929
643 643
1

Prime factors of 5787 are 3,643. Prime factorization of 5787 in exponential form is:

5787 = 32×6431

Prime Factorization of 5793


3 5793
1931 1931
1

Prime factors of 5793 are 3,1931. Prime factorization of 5793 in exponential form is:

5793 = 31×19311

∴ So by taking common prime factors GCF of 5787 and 5793 is 3

Greatest Common Factor of 5787 and 5793 by matching factors method

Factors of 5787

List of positive integer factors of 5787 that divides 5787 without a remainder.

1,3,9,643,1929,5787

Factors of 5793

List of positive integer factors of 5793 that divides 5793 without a remainder.

1,3,1931,5793

Greatest Common Factor

We found the factors and prime factorization of 5787 and 5793. The biggest common factor number is the GCF number.
So the greatest common factor 5787 and 5793 is 3.

Also check out the Least Common Multiple of 5787 and 5793

Properties of GCF 5787 and 5793

(i) The GCF of 5787 and 5793 is associative

GCF of 5787 and 5793 = GCF of 5793 and 5787

Related Greatest Common Factor of 5787

Related Greatest Common Factor of 5793

Frequently Asked Questions on GCF of 5787 and 5793

1. What is the GCF of 5787 and 5793?

Answer: GCF of 5787 and 5793 is 3.

2. What are the Factors of 5787?

Answer: Factors of 5787 are 1, 3, 9, 643, 1929, 5787. There are 6 integers that are factors of 5787. The greatest factor of 5787 is 5787.

3. What are the Factors of 5793?

Answer: Factors of 5793 are 1, 3, 1931, 5793. There are 4 integers that are factors of 5793. The greatest factor of 5793 is 5793.

4. How to Find the GCF of 5787 and 5793?

Answer:

Greatest Common Factor of 5787 and 5793 = 3

Step 1: Find the prime factorization of 5787

5787 = 3 x 3 x 643

Step 2: Find the prime factorization of 5793

5793 = 3 x 1931

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 5787 and 5793 is 3