Greatest Common Factor of 5765 and 5770

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 5765, 5770 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5765 and 5770 is 5.

GCF(5765,5770) = 5

GCF of 5765 and 5770

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

GCF of:
and

Greatest Common Factor of 5765 and 5770

GCF of 5765 and 5770 is 5

Prime Factorization of 5765


5 5765
1153 1153
1

Prime factors of 5765 are 5,1153. Prime factorization of 5765 in exponential form is:

5765 = 51×11531

Prime Factorization of 5770


2 5770
5 2885
577 577
1

Prime factors of 5770 are 2,5,577. Prime factorization of 5770 in exponential form is:

5770 = 21×51×5771

∴ So by taking common prime factors GCF of 5765 and 5770 is 5

Greatest Common Factor of 5765 and 5770 by matching factors method

Factors of 5765

List of positive integer factors of 5765 that divides 5765 without a remainder.

1,5,1153,5765

Factors of 5770

List of positive integer factors of 5770 that divides 5770 without a remainder.

1,2,5,10,577,1154,2885,5770

Greatest Common Factor

We found the factors and prime factorization of 5765 and 5770. The biggest common factor number is the GCF number.
So the greatest common factor 5765 and 5770 is 5.

Also check out the Least Common Multiple of 5765 and 5770

Properties of GCF 5765 and 5770

(i) The GCF of 5765 and 5770 is associative

GCF of 5765 and 5770 = GCF of 5770 and 5765

Related Greatest Common Factor of 5765

Related Greatest Common Factor of 5770

Frequently Asked Questions on GCF of 5765 and 5770

1. What is the GCF of 5765 and 5770?

Answer: GCF of 5765 and 5770 is 5.

2. What are the Factors of 5765?

Answer: Factors of 5765 are 1, 5, 1153, 5765. There are 4 integers that are factors of 5765. The greatest factor of 5765 is 5765.

3. What are the Factors of 5770?

Answer: Factors of 5770 are 1, 2, 5, 10, 577, 1154, 2885, 5770. There are 8 integers that are factors of 5770. The greatest factor of 5770 is 5770.

4. How to Find the GCF of 5765 and 5770?

Answer:

Greatest Common Factor of 5765 and 5770 = 5

Step 1: Find the prime factorization of 5765

5765 = 5 x 1153

Step 2: Find the prime factorization of 5770

5770 = 2 x 5 x 577

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5765 and 5770 is 5