Greatest Common Factor of 906 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 906, 908 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 906 and 908 is 2.

GCF(906,908) = 2

GCF of 906 and 908

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

GCF of:
and

Greatest Common Factor of 906 and 908

GCF of 906 and 908 is 2

Prime Factorization of 906


2 906
3 453
151 151
1

Prime factors of 906 are 2,3,151. Prime factorization of 906 in exponential form is:

906 = 21×31×1511

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 906 and 908 is 2

Greatest Common Factor of 906 and 908 by matching factors method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

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 906 and 908. The biggest common factor number is the GCF number.
So the greatest common factor 906 and 908 is 2.

Also check out the Least Common Multiple of 906 and 908

Properties of GCF 906 and 908

(i) The GCF of 906 and 908 is associative

GCF of 906 and 908 = GCF of 908 and 906

Related Greatest Common Factor of 906

Related Greatest Common Factor of 908

Frequently Asked Questions on GCF of 906 and 908

1. What is the GCF of 906 and 908?

Answer: GCF of 906 and 908 is 2.

2. What are the Factors of 906?

Answer: Factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906. There are 8 integers that are factors of 906. The greatest factor of 906 is 906.

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 906 and 908?

Answer:

Greatest Common Factor of 906 and 908 = 2

Step 1: Find the prime factorization of 906

906 = 2 x 3 x 151

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 906 and 908 is 2