# Greatest Common Factor of 900 and 901

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 900, 901 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 900 and 901 is 1.

GCF(900,901) = 1

## GCF of 900 and 901

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

GCF of:
and

### Greatest Common Factor of 900 and 901 by Prime factorization method

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 901

 17 901 53 53 1

Prime factors of 901 are 17,53. Prime factorization of 901 in exponential form is:

901 = 171×531

∴ So by taking common prime factors GCF of 900 and 901 is 1

### Greatest Common Factor of 900 and 901 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 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors and prime factorization of 900 and 901. The biggest common factor number is the GCF number.
So the greatest common factor 900 and 901 is 1.

Also check out the Least Common Multiple of 900 and 901

### Properties of GCF 900 and 901

(i) The GCF of 900 and 901 is associative

GCF of 900 and 901 = GCF of 901 and 900

### Frequently Asked Questions on GCF of 900 and 901

1. What is the GCF of 900 and 901?

Answer: GCF of 900 and 901 is 1.

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 901?

Answer: Factors of 901 are 1, 17, 53, 901. There are 4 integers that are factors of 901. The greatest factor of 901 is 901.

4. How to Find the GCF of 900 and 901?

Greatest Common Factor of 900 and 901 = 1

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 901

901 = 17 x 53

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 900 and 901 is 1