Greatest Common Factor of 900 and 902

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 900, 902 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 900 and 902 is 2.

GCF(900,902) = 2

GCF of 900 and 902

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

GCF of:
and

Greatest Common Factor of 900 and 902

GCF of 900 and 902 is 2

Prime Factorization of 900


2 900
2 450
3 225
3 75
5 25
5 5
1

Prime factors of 900 are 2,3,5. Prime factorization of 900 in exponential form is:

900 = 22×32×52

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

∴ So by taking common prime factors GCF of 900 and 902 is 2

Greatest Common Factor of 900 and 902 by matching factors method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 902

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

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

Greatest Common Factor

We found the factors and prime factorization of 900 and 902. The biggest common factor number is the GCF number.
So the greatest common factor 900 and 902 is 2.

Also check out the Least Common Multiple of 900 and 902

Properties of GCF 900 and 902

(i) The GCF of 900 and 902 is associative

GCF of 900 and 902 = GCF of 902 and 900

Related Greatest Common Factor of 900

Related Greatest Common Factor of 902

Frequently Asked Questions on GCF of 900 and 902

1. What is the GCF of 900 and 902?

Answer: GCF of 900 and 902 is 2.

2. What are the Factors of 900?

Answer: Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900. There are 27 integers that are factors of 900. The greatest factor of 900 is 900.

3. 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.

4. How to Find the GCF of 900 and 902?

Answer:

Greatest Common Factor of 900 and 902 = 2

Step 1: Find the prime factorization of 900

900 = 2 x 2 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 902

902 = 2 x 11 x 41

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 900 and 902 is 2