Greatest Common Factor of 892 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 892, 900 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 892 and 900 is 4.

GCF(892,900) = 4

GCF of 892 and 900

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

GCF of:
and

Greatest Common Factor of 892 and 900

GCF of 892 and 900 is 4

Prime Factorization of 892


2 892
2 446
223 223
1

Prime factors of 892 are 2,223. Prime factorization of 892 in exponential form is:

892 = 22×2231

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 892 and 900 is 4

Greatest Common Factor of 892 and 900 by matching factors method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

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 892 and 900. The biggest common factor number is the GCF number.
So the greatest common factor 892 and 900 is 4.

Also check out the Least Common Multiple of 892 and 900

Properties of GCF 892 and 900

(i) The GCF of 892 and 900 is associative

GCF of 892 and 900 = GCF of 900 and 892

Related Greatest Common Factor of 892

Related Greatest Common Factor of 900

Frequently Asked Questions on GCF of 892 and 900

1. What is the GCF of 892 and 900?

Answer: GCF of 892 and 900 is 4.

2. What are the Factors of 892?

Answer: Factors of 892 are 1, 2, 4, 223, 446, 892. There are 6 integers that are factors of 892. The greatest factor of 892 is 892.

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 892 and 900?

Answer:

Greatest Common Factor of 892 and 900 = 4

Step 1: Find the prime factorization of 892

892 = 2 x 2 x 223

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 2 = 4

Step 4: Therefore, the greatest common factor of 892 and 900 is 4