Greatest Common Factor of 8905 and 8910

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 8905, 8910 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8905 and 8910 is 5.

GCF(8905,8910) = 5

GCF of 8905 and 8910

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

GCF of:
and

Greatest Common Factor of 8905 and 8910

GCF of 8905 and 8910 is 5

Prime Factorization of 8905


5 8905
13 1781
137 137
1

Prime factors of 8905 are 5,13,137. Prime factorization of 8905 in exponential form is:

8905 = 51×131×1371

Prime Factorization of 8910


2 8910
3 4455
3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 8910 are 2,3,5,11. Prime factorization of 8910 in exponential form is:

8910 = 21×34×51×111

∴ So by taking common prime factors GCF of 8905 and 8910 is 5

Greatest Common Factor of 8905 and 8910 by matching factors method

Factors of 8905

List of positive integer factors of 8905 that divides 8905 without a remainder.

1,5,13,65,137,685,1781,8905

Factors of 8910

List of positive integer factors of 8910 that divides 8910 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,81,90,99,110,135,162,165,198,270,297,330,405,495,594,810,891,990,1485,1782,2970,4455,8910

Greatest Common Factor

We found the factors and prime factorization of 8905 and 8910. The biggest common factor number is the GCF number.
So the greatest common factor 8905 and 8910 is 5.

Also check out the Least Common Multiple of 8905 and 8910

Properties of GCF 8905 and 8910

(i) The GCF of 8905 and 8910 is associative

GCF of 8905 and 8910 = GCF of 8910 and 8905

Related Greatest Common Factor of 8905

Related Greatest Common Factor of 8910

Frequently Asked Questions on GCF of 8905 and 8910

1. What is the GCF of 8905 and 8910?

Answer: GCF of 8905 and 8910 is 5.

2. What are the Factors of 8905?

Answer: Factors of 8905 are 1, 5, 13, 65, 137, 685, 1781, 8905. There are 8 integers that are factors of 8905. The greatest factor of 8905 is 8905.

3. What are the Factors of 8910?

Answer: Factors of 8910 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 81, 90, 99, 110, 135, 162, 165, 198, 270, 297, 330, 405, 495, 594, 810, 891, 990, 1485, 1782, 2970, 4455, 8910. There are 40 integers that are factors of 8910. The greatest factor of 8910 is 8910.

4. How to Find the GCF of 8905 and 8910?

Answer:

Greatest Common Factor of 8905 and 8910 = 5

Step 1: Find the prime factorization of 8905

8905 = 5 x 13 x 137

Step 2: Find the prime factorization of 8910

8910 = 2 x 3 x 3 x 3 x 3 x 5 x 11

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 8905 and 8910 is 5