Greatest Common Factor of 8765 and 8770

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 8765, 8770 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8765 and 8770 is 5.

GCF(8765,8770) = 5

GCF of 8765 and 8770

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

GCF of:
and

Greatest Common Factor of 8765 and 8770

GCF of 8765 and 8770 is 5

Prime Factorization of 8765


5 8765
1753 1753
1

Prime factors of 8765 are 5,1753. Prime factorization of 8765 in exponential form is:

8765 = 51×17531

Prime Factorization of 8770


2 8770
5 4385
877 877
1

Prime factors of 8770 are 2,5,877. Prime factorization of 8770 in exponential form is:

8770 = 21×51×8771

∴ So by taking common prime factors GCF of 8765 and 8770 is 5

Greatest Common Factor of 8765 and 8770 by matching factors method

Factors of 8765

List of positive integer factors of 8765 that divides 8765 without a remainder.

1,5,1753,8765

Factors of 8770

List of positive integer factors of 8770 that divides 8770 without a remainder.

1,2,5,10,877,1754,4385,8770

Greatest Common Factor

We found the factors and prime factorization of 8765 and 8770. The biggest common factor number is the GCF number.
So the greatest common factor 8765 and 8770 is 5.

Also check out the Least Common Multiple of 8765 and 8770

Properties of GCF 8765 and 8770

(i) The GCF of 8765 and 8770 is associative

GCF of 8765 and 8770 = GCF of 8770 and 8765

Related Greatest Common Factor of 8765

Related Greatest Common Factor of 8770

Frequently Asked Questions on GCF of 8765 and 8770

1. What is the GCF of 8765 and 8770?

Answer: GCF of 8765 and 8770 is 5.

2. What are the Factors of 8765?

Answer: Factors of 8765 are 1, 5, 1753, 8765. There are 4 integers that are factors of 8765. The greatest factor of 8765 is 8765.

3. What are the Factors of 8770?

Answer: Factors of 8770 are 1, 2, 5, 10, 877, 1754, 4385, 8770. There are 8 integers that are factors of 8770. The greatest factor of 8770 is 8770.

4. How to Find the GCF of 8765 and 8770?

Answer:

Greatest Common Factor of 8765 and 8770 = 5

Step 1: Find the prime factorization of 8765

8765 = 5 x 1753

Step 2: Find the prime factorization of 8770

8770 = 2 x 5 x 877

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 8765 and 8770 is 5