Greatest Common Factor of 5764 and 5767

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, 5767 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5764 and 5767 is 1.

GCF(5764,5767) = 1

GCF of 5764 and 5767

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

GCF of:
and

Greatest Common Factor of 5764 and 5767

GCF of 5764 and 5767 is 1

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 5767


73 5767
79 79
1

Prime factors of 5767 are 73,79. Prime factorization of 5767 in exponential form is:

5767 = 731×791

∴ So by taking common prime factors GCF of 5764 and 5767 is 1

Greatest Common Factor of 5764 and 5767 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 5767

List of positive integer factors of 5767 that divides 5767 without a remainder.

1,73,79,5767

Greatest Common Factor

We found the factors and prime factorization of 5764 and 5767. The biggest common factor number is the GCF number.
So the greatest common factor 5764 and 5767 is 1.

Also check out the Least Common Multiple of 5764 and 5767

Properties of GCF 5764 and 5767

(i) The GCF of 5764 and 5767 is associative

GCF of 5764 and 5767 = GCF of 5767 and 5764

Related Greatest Common Factor of 5764

Related Greatest Common Factor of 5767

Frequently Asked Questions on GCF of 5764 and 5767

1. What is the GCF of 5764 and 5767?

Answer: GCF of 5764 and 5767 is 1.

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 5767?

Answer: Factors of 5767 are 1, 73, 79, 5767. There are 4 integers that are factors of 5767. The greatest factor of 5767 is 5767.

4. How to Find the GCF of 5764 and 5767?

Answer:

Greatest Common Factor of 5764 and 5767 = 1

Step 1: Find the prime factorization of 5764

5764 = 2 x 2 x 11 x 131

Step 2: Find the prime factorization of 5767

5767 = 73 x 79

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5764 and 5767 is 1