Greatest Common Factor of 8770 and 8775

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 8770, 8775 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8770 and 8775 is 5.

GCF(8770,8775) = 5

GCF of 8770 and 8775

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

GCF of:
and

Greatest Common Factor of 8770 and 8775

GCF of 8770 and 8775 is 5

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

Prime Factorization of 8775


3 8775
3 2925
3 975
5 325
5 65
13 13
1

Prime factors of 8775 are 3,5,13. Prime factorization of 8775 in exponential form is:

8775 = 33×52×131

∴ So by taking common prime factors GCF of 8770 and 8775 is 5

Greatest Common Factor of 8770 and 8775 by matching factors method

Factors of 8770

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

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

Factors of 8775

List of positive integer factors of 8775 that divides 8775 without a remainder.

1,3,5,9,13,15,25,27,39,45,65,75,117,135,195,225,325,351,585,675,975,1755,2925,8775

Greatest Common Factor

We found the factors and prime factorization of 8770 and 8775. The biggest common factor number is the GCF number.
So the greatest common factor 8770 and 8775 is 5.

Also check out the Least Common Multiple of 8770 and 8775

Properties of GCF 8770 and 8775

(i) The GCF of 8770 and 8775 is associative

GCF of 8770 and 8775 = GCF of 8775 and 8770

Related Greatest Common Factor of 8770

Related Greatest Common Factor of 8775

Frequently Asked Questions on GCF of 8770 and 8775

1. What is the GCF of 8770 and 8775?

Answer: GCF of 8770 and 8775 is 5.

2. 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.

3. What are the Factors of 8775?

Answer: Factors of 8775 are 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225, 325, 351, 585, 675, 975, 1755, 2925, 8775. There are 24 integers that are factors of 8775. The greatest factor of 8775 is 8775.

4. How to Find the GCF of 8770 and 8775?

Answer:

Greatest Common Factor of 8770 and 8775 = 5

Step 1: Find the prime factorization of 8770

8770 = 2 x 5 x 877

Step 2: Find the prime factorization of 8775

8775 = 3 x 3 x 3 x 5 x 5 x 13

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 8770 and 8775 is 5