Greatest Common Factor of 5764 and 5766

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 5764, 5766 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5764 and 5766 is 2.

GCF(5764,5766) = 2

GCF of 5764 and 5766

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

GCF of:
and

Greatest Common Factor of 5764 and 5766

GCF of 5764 and 5766 is 2

Prime Factorization of 5764


2 5764
2 2882
11 1441
131 131
1

Prime factors of 5764 are 2,11,131. Prime factorization of 5764 in exponential form is:

5764 = 22×111×1311

Prime Factorization of 5766


2 5766
3 2883
31 961
31 31
1

Prime factors of 5766 are 2,3,31. Prime factorization of 5766 in exponential form is:

5766 = 21×31×312

∴ So by taking common prime factors GCF of 5764 and 5766 is 2

Greatest Common Factor of 5764 and 5766 by matching factors method

Factors of 5764

List of positive integer factors of 5764 that divides 5764 without a remainder.

1,2,4,11,22,44,131,262,524,1441,2882,5764

Factors of 5766

List of positive integer factors of 5766 that divides 5766 without a remainder.

1,2,3,6,31,62,93,186,961,1922,2883,5766

Greatest Common Factor

We found the factors and prime factorization of 5764 and 5766. The biggest common factor number is the GCF number.
So the greatest common factor 5764 and 5766 is 2.

Also check out the Least Common Multiple of 5764 and 5766

Properties of GCF 5764 and 5766

(i) The GCF of 5764 and 5766 is associative

GCF of 5764 and 5766 = GCF of 5766 and 5764

Related Greatest Common Factor of 5764

Related Greatest Common Factor of 5766

Frequently Asked Questions on GCF of 5764 and 5766

1. What is the GCF of 5764 and 5766?

Answer: GCF of 5764 and 5766 is 2.

2. What are the Factors of 5764?

Answer: Factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764. There are 12 integers that are factors of 5764. The greatest factor of 5764 is 5764.

3. What are the Factors of 5766?

Answer: Factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766. There are 12 integers that are factors of 5766. The greatest factor of 5766 is 5766.

4. How to Find the GCF of 5764 and 5766?

Answer:

Greatest Common Factor of 5764 and 5766 = 2

Step 1: Find the prime factorization of 5764

5764 = 2 x 2 x 11 x 131

Step 2: Find the prime factorization of 5766

5766 = 2 x 3 x 31 x 31

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 5764 and 5766 is 2