Greatest Common Factor of 902 and 908

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, 908 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 902 and 908 is 2.

GCF(902,908) = 2

GCF of 902 and 908

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

GCF of:
and

Greatest Common Factor of 902 and 908

GCF of 902 and 908 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 908


2 908
2 454
227 227
1

Prime factors of 908 are 2,227. Prime factorization of 908 in exponential form is:

908 = 22×2271

∴ So by taking common prime factors GCF of 902 and 908 is 2

Greatest Common Factor of 902 and 908 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 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors and prime factorization of 902 and 908. The biggest common factor number is the GCF number.
So the greatest common factor 902 and 908 is 2.

Also check out the Least Common Multiple of 902 and 908

Properties of GCF 902 and 908

(i) The GCF of 902 and 908 is associative

GCF of 902 and 908 = GCF of 908 and 902

Related Greatest Common Factor of 902

Related Greatest Common Factor of 908

Frequently Asked Questions on GCF of 902 and 908

1. What is the GCF of 902 and 908?

Answer: GCF of 902 and 908 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 908?

Answer: Factors of 908 are 1, 2, 4, 227, 454, 908. There are 6 integers that are factors of 908. The greatest factor of 908 is 908.

4. How to Find the GCF of 902 and 908?

Answer:

Greatest Common Factor of 902 and 908 = 2

Step 1: Find the prime factorization of 902

902 = 2 x 11 x 41

Step 2: Find the prime factorization of 908

908 = 2 x 2 x 227

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 908 is 2