Greatest Common Factor of 5764 and 5768

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, 5768 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5764 and 5768 is 4.

GCF(5764,5768) = 4

GCF of 5764 and 5768

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

GCF of:
and

Greatest Common Factor of 5764 and 5768

GCF of 5764 and 5768 is 4

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 5768


2 5768
2 2884
2 1442
7 721
103 103
1

Prime factors of 5768 are 2,7,103. Prime factorization of 5768 in exponential form is:

5768 = 23×71×1031

∴ So by taking common prime factors GCF of 5764 and 5768 is 4

Greatest Common Factor of 5764 and 5768 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 5768

List of positive integer factors of 5768 that divides 5768 without a remainder.

1,2,4,7,8,14,28,56,103,206,412,721,824,1442,2884,5768

Greatest Common Factor

We found the factors and prime factorization of 5764 and 5768. The biggest common factor number is the GCF number.
So the greatest common factor 5764 and 5768 is 4.

Also check out the Least Common Multiple of 5764 and 5768

Properties of GCF 5764 and 5768

(i) The GCF of 5764 and 5768 is associative

GCF of 5764 and 5768 = GCF of 5768 and 5764

Related Greatest Common Factor of 5764

Related Greatest Common Factor of 5768

Frequently Asked Questions on GCF of 5764 and 5768

1. What is the GCF of 5764 and 5768?

Answer: GCF of 5764 and 5768 is 4.

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 5768?

Answer: Factors of 5768 are 1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884, 5768. There are 16 integers that are factors of 5768. The greatest factor of 5768 is 5768.

4. How to Find the GCF of 5764 and 5768?

Answer:

Greatest Common Factor of 5764 and 5768 = 4

Step 1: Find the prime factorization of 5764

5764 = 2 x 2 x 11 x 131

Step 2: Find the prime factorization of 5768

5768 = 2 x 2 x 2 x 7 x 103

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5764 and 5768 is 4