Greatest Common Factor of 894 and 900

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 894, 900 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 894 and 900 is 6.

GCF(894,900) = 6

GCF of 894 and 900

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

GCF of:
and

Greatest Common Factor of 894 and 900

GCF of 894 and 900 is 6

Prime Factorization of 894


2 894
3 447
149 149
1

Prime factors of 894 are 2,3,149. Prime factorization of 894 in exponential form is:

894 = 21×31×1491

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

∴ So by taking common prime factors GCF of 894 and 900 is 6

Greatest Common Factor of 894 and 900 by matching factors method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

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

Greatest Common Factor

We found the factors and prime factorization of 894 and 900. The biggest common factor number is the GCF number.
So the greatest common factor 894 and 900 is 6.

Also check out the Least Common Multiple of 894 and 900

Properties of GCF 894 and 900

(i) The GCF of 894 and 900 is associative

GCF of 894 and 900 = GCF of 900 and 894

Related Greatest Common Factor of 894

Related Greatest Common Factor of 900

Frequently Asked Questions on GCF of 894 and 900

1. What is the GCF of 894 and 900?

Answer: GCF of 894 and 900 is 6.

2. What are the Factors of 894?

Answer: Factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894. There are 8 integers that are factors of 894. The greatest factor of 894 is 894.

3. 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.

4. How to Find the GCF of 894 and 900?

Answer:

Greatest Common Factor of 894 and 900 = 6

Step 1: Find the prime factorization of 894

894 = 2 x 3 x 149

Step 2: Find the prime factorization of 900

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 894 and 900 is 6