Greatest Common Factor of 902 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 902, 910 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 902 and 910 is 2.

GCF(902,910) = 2

GCF of 902 and 910

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

GCF of:
and

Greatest Common Factor of 902 and 910

GCF of 902 and 910 is 2

Prime Factorization of 902


2 902
11 451
41 41
1

Prime factors of 902 are 2,11,41. Prime factorization of 902 in exponential form is:

902 = 21×111×411

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 902 and 910 is 2

Greatest Common Factor of 902 and 910 by matching factors method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

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 902 and 910. The biggest common factor number is the GCF number.
So the greatest common factor 902 and 910 is 2.

Also check out the Least Common Multiple of 902 and 910

Properties of GCF 902 and 910

(i) The GCF of 902 and 910 is associative

GCF of 902 and 910 = GCF of 910 and 902

Related Greatest Common Factor of 902

Related Greatest Common Factor of 910

Frequently Asked Questions on GCF of 902 and 910

1. What is the GCF of 902 and 910?

Answer: GCF of 902 and 910 is 2.

2. What are the Factors of 902?

Answer: Factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902. There are 8 integers that are factors of 902. The greatest factor of 902 is 902.

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 902 and 910?

Answer:

Greatest Common Factor of 902 and 910 = 2

Step 1: Find the prime factorization of 902

902 = 2 x 11 x 41

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 = 2

Step 4: Therefore, the greatest common factor of 902 and 910 is 2