Greatest Common Factor of 905 and 910

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 905, 910 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 905 and 910 is 5.

GCF(905,910) = 5

GCF of 905 and 910

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

GCF of:
and

Greatest Common Factor of 905 and 910

GCF of 905 and 910 is 5

Prime Factorization of 905


5 905
181 181
1

Prime factors of 905 are 5,181. Prime factorization of 905 in exponential form is:

905 = 51×1811

Prime Factorization of 910


2 910
5 455
7 91
13 13
1

Prime factors of 910 are 2,5,7,13. Prime factorization of 910 in exponential form is:

910 = 21×51×71×131

∴ So by taking common prime factors GCF of 905 and 910 is 5

Greatest Common Factor of 905 and 910 by matching factors method

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors and prime factorization of 905 and 910. The biggest common factor number is the GCF number.
So the greatest common factor 905 and 910 is 5.

Also check out the Least Common Multiple of 905 and 910

Properties of GCF 905 and 910

(i) The GCF of 905 and 910 is associative

GCF of 905 and 910 = GCF of 910 and 905

Related Greatest Common Factor of 905

Related Greatest Common Factor of 910

Frequently Asked Questions on GCF of 905 and 910

1. What is the GCF of 905 and 910?

Answer: GCF of 905 and 910 is 5.

2. What are the Factors of 905?

Answer: Factors of 905 are 1, 5, 181, 905. There are 4 integers that are factors of 905. The greatest factor of 905 is 905.

3. What are the Factors of 910?

Answer: Factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910. There are 16 integers that are factors of 910. The greatest factor of 910 is 910.

4. How to Find the GCF of 905 and 910?

Answer:

Greatest Common Factor of 905 and 910 = 5

Step 1: Find the prime factorization of 905

905 = 5 x 181

Step 2: Find the prime factorization of 910

910 = 2 x 5 x 7 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 905 and 910 is 5