Greatest Common Factor of 5774 and 5778

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, 5778 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5774 and 5778 is 2.

GCF(5774,5778) = 2

GCF of 5774 and 5778

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

GCF of:
and

Greatest Common Factor of 5774 and 5778

GCF of 5774 and 5778 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 5778


2 5778
3 2889
3 963
3 321
107 107
1

Prime factors of 5778 are 2,3,107. Prime factorization of 5778 in exponential form is:

5778 = 21×33×1071

∴ So by taking common prime factors GCF of 5774 and 5778 is 2

Greatest Common Factor of 5774 and 5778 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 5778

List of positive integer factors of 5778 that divides 5778 without a remainder.

1,2,3,6,9,18,27,54,107,214,321,642,963,1926,2889,5778

Greatest Common Factor

We found the factors and prime factorization of 5774 and 5778. The biggest common factor number is the GCF number.
So the greatest common factor 5774 and 5778 is 2.

Also check out the Least Common Multiple of 5774 and 5778

Properties of GCF 5774 and 5778

(i) The GCF of 5774 and 5778 is associative

GCF of 5774 and 5778 = GCF of 5778 and 5774

Related Greatest Common Factor of 5774

Related Greatest Common Factor of 5778

Frequently Asked Questions on GCF of 5774 and 5778

1. What is the GCF of 5774 and 5778?

Answer: GCF of 5774 and 5778 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 5778?

Answer: Factors of 5778 are 1, 2, 3, 6, 9, 18, 27, 54, 107, 214, 321, 642, 963, 1926, 2889, 5778. There are 16 integers that are factors of 5778. The greatest factor of 5778 is 5778.

4. How to Find the GCF of 5774 and 5778?

Answer:

Greatest Common Factor of 5774 and 5778 = 2

Step 1: Find the prime factorization of 5774

5774 = 2 x 2887

Step 2: Find the prime factorization of 5778

5778 = 2 x 3 x 3 x 3 x 107

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 5778 is 2