Greatest Common Factor of 900 and 905

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, 905 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 900 and 905 is 5.

GCF(900,905) = 5

GCF of 900 and 905

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

GCF of:
and

Greatest Common Factor of 900 and 905

GCF of 900 and 905 is 5

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 905


5 905
181 181
1

Prime factors of 905 are 5,181. Prime factorization of 905 in exponential form is:

905 = 51×1811

∴ So by taking common prime factors GCF of 900 and 905 is 5

Greatest Common Factor of 900 and 905 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 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors and prime factorization of 900 and 905. The biggest common factor number is the GCF number.
So the greatest common factor 900 and 905 is 5.

Also check out the Least Common Multiple of 900 and 905

Properties of GCF 900 and 905

(i) The GCF of 900 and 905 is associative

GCF of 900 and 905 = GCF of 905 and 900

Related Greatest Common Factor of 900

Related Greatest Common Factor of 905

Frequently Asked Questions on GCF of 900 and 905

1. What is the GCF of 900 and 905?

Answer: GCF of 900 and 905 is 5.

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 905?

Answer: Factors of 905 are 1, 5, 181, 905. There are 4 integers that are factors of 905. The greatest factor of 905 is 905.

4. How to Find the GCF of 900 and 905?

Answer:

Greatest Common Factor of 900 and 905 = 5

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 905

905 = 5 x 181

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 900 and 905 is 5