Greatest Common Factor of 900 and 907

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, 907 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 900 and 907 is 1.

GCF(900,907) = 1

GCF of 900 and 907

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

GCF of:
and

Greatest Common Factor of 900 and 907

GCF of 900 and 907 is 1

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 907


907 907
1

Prime factors of 907 are 907. Prime factorization of 907 in exponential form is:

907 = 9071

∴ So by taking common prime factors GCF of 900 and 907 is 1

Greatest Common Factor of 900 and 907 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 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors and prime factorization of 900 and 907. The biggest common factor number is the GCF number.
So the greatest common factor 900 and 907 is 1.

Also check out the Least Common Multiple of 900 and 907

Properties of GCF 900 and 907

(i) The GCF of 900 and 907 is associative

GCF of 900 and 907 = GCF of 907 and 900

Related Greatest Common Factor of 900

Related Greatest Common Factor of 907

Frequently Asked Questions on GCF of 900 and 907

1. What is the GCF of 900 and 907?

Answer: GCF of 900 and 907 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 907?

Answer: Factors of 907 are 1, 907. There are 2 integers that are factors of 907. The greatest factor of 907 is 907.

4. How to Find the GCF of 900 and 907?

Answer:

Greatest Common Factor of 900 and 907 = 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 907

907 = 907

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 907 is 1