Greatest Common Factor of 9444 and 9450

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 9444, 9450 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9444 and 9450 is 6.

GCF(9444,9450) = 6

GCF of 9444 and 9450

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

GCF of:
and

Greatest Common Factor of 9444 and 9450

GCF of 9444 and 9450 is 6

Prime Factorization of 9444


2 9444
2 4722
3 2361
787 787
1

Prime factors of 9444 are 2,3,787. Prime factorization of 9444 in exponential form is:

9444 = 22×31×7871

Prime Factorization of 9450


2 9450
3 4725
3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 9450 are 2,3,5,7. Prime factorization of 9450 in exponential form is:

9450 = 21×33×52×71

∴ So by taking common prime factors GCF of 9444 and 9450 is 6

Greatest Common Factor of 9444 and 9450 by matching factors method

Factors of 9444

List of positive integer factors of 9444 that divides 9444 without a remainder.

1,2,3,4,6,12,787,1574,2361,3148,4722,9444

Factors of 9450

List of positive integer factors of 9450 that divides 9450 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,25,27,30,35,42,45,50,54,63,70,75,90,105,126,135,150,175,189,210,225,270,315,350,378,450,525,630,675,945,1050,1350,1575,1890,3150,4725,9450

Greatest Common Factor

We found the factors and prime factorization of 9444 and 9450. The biggest common factor number is the GCF number.
So the greatest common factor 9444 and 9450 is 6.

Also check out the Least Common Multiple of 9444 and 9450

Properties of GCF 9444 and 9450

(i) The GCF of 9444 and 9450 is associative

GCF of 9444 and 9450 = GCF of 9450 and 9444

Related Greatest Common Factor of 9444

Related Greatest Common Factor of 9450

Frequently Asked Questions on GCF of 9444 and 9450

1. What is the GCF of 9444 and 9450?

Answer: GCF of 9444 and 9450 is 6.

2. What are the Factors of 9444?

Answer: Factors of 9444 are 1, 2, 3, 4, 6, 12, 787, 1574, 2361, 3148, 4722, 9444. There are 12 integers that are factors of 9444. The greatest factor of 9444 is 9444.

3. What are the Factors of 9450?

Answer: Factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450. There are 48 integers that are factors of 9450. The greatest factor of 9450 is 9450.

4. How to Find the GCF of 9444 and 9450?

Answer:

Greatest Common Factor of 9444 and 9450 = 6

Step 1: Find the prime factorization of 9444

9444 = 2 x 2 x 3 x 787

Step 2: Find the prime factorization of 9450

9450 = 2 x 3 x 3 x 3 x 5 x 5 x 7

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 9444 and 9450 is 6