Greatest Common Factor of 903 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 903, 910 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 903 and 910 is 7.

GCF(903,910) = 7

GCF of 903 and 910

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

GCF of:
and

Greatest Common Factor of 903 and 910

GCF of 903 and 910 is 7

Prime Factorization of 903


3 903
7 301
43 43
1

Prime factors of 903 are 3,7,43. Prime factorization of 903 in exponential form is:

903 = 31×71×431

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 903 and 910 is 7

Greatest Common Factor of 903 and 910 by matching factors method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

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 903 and 910. The biggest common factor number is the GCF number.
So the greatest common factor 903 and 910 is 7.

Also check out the Least Common Multiple of 903 and 910

Properties of GCF 903 and 910

(i) The GCF of 903 and 910 is associative

GCF of 903 and 910 = GCF of 910 and 903

Related Greatest Common Factor of 903

Related Greatest Common Factor of 910

Frequently Asked Questions on GCF of 903 and 910

1. What is the GCF of 903 and 910?

Answer: GCF of 903 and 910 is 7.

2. What are the Factors of 903?

Answer: Factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903. There are 8 integers that are factors of 903. The greatest factor of 903 is 903.

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 903 and 910?

Answer:

Greatest Common Factor of 903 and 910 = 7

Step 1: Find the prime factorization of 903

903 = 3 x 7 x 43

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 = 7

Step 4: Therefore, the greatest common factor of 903 and 910 is 7