Greatest Common Factor of 5774 and 5780

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 5774, 5780 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5774 and 5780 is 2.

GCF(5774,5780) = 2

GCF of 5774 and 5780

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

GCF of:
and

Greatest Common Factor of 5774 and 5780

GCF of 5774 and 5780 is 2

Prime Factorization of 5774


2 5774
2887 2887
1

Prime factors of 5774 are 2,2887. Prime factorization of 5774 in exponential form is:

5774 = 21×28871

Prime Factorization of 5780


2 5780
2 2890
5 1445
17 289
17 17
1

Prime factors of 5780 are 2,5,17. Prime factorization of 5780 in exponential form is:

5780 = 22×51×172

∴ So by taking common prime factors GCF of 5774 and 5780 is 2

Greatest Common Factor of 5774 and 5780 by matching factors method

Factors of 5774

List of positive integer factors of 5774 that divides 5774 without a remainder.

1,2,2887,5774

Factors of 5780

List of positive integer factors of 5780 that divides 5780 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780

Greatest Common Factor

We found the factors and prime factorization of 5774 and 5780. The biggest common factor number is the GCF number.
So the greatest common factor 5774 and 5780 is 2.

Also check out the Least Common Multiple of 5774 and 5780

Properties of GCF 5774 and 5780

(i) The GCF of 5774 and 5780 is associative

GCF of 5774 and 5780 = GCF of 5780 and 5774

Related Greatest Common Factor of 5774

Related Greatest Common Factor of 5780

Frequently Asked Questions on GCF of 5774 and 5780

1. What is the GCF of 5774 and 5780?

Answer: GCF of 5774 and 5780 is 2.

2. What are the Factors of 5774?

Answer: Factors of 5774 are 1, 2, 2887, 5774. There are 4 integers that are factors of 5774. The greatest factor of 5774 is 5774.

3. What are the Factors of 5780?

Answer: Factors of 5780 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780. There are 18 integers that are factors of 5780. The greatest factor of 5780 is 5780.

4. How to Find the GCF of 5774 and 5780?

Answer:

Greatest Common Factor of 5774 and 5780 = 2

Step 1: Find the prime factorization of 5774

5774 = 2 x 2887

Step 2: Find the prime factorization of 5780

5780 = 2 x 2 x 5 x 17 x 17

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5774 and 5780 is 2