Greatest Common Factor of 9450 and 9456

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 9450, 9456 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9450 and 9456 is 6.

GCF(9450,9456) = 6

GCF of 9450 and 9456

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

GCF of:
and

Greatest Common Factor of 9450 and 9456

GCF of 9450 and 9456 is 6

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

Prime Factorization of 9456


2 9456
2 4728
2 2364
2 1182
3 591
197 197
1

Prime factors of 9456 are 2,3,197. Prime factorization of 9456 in exponential form is:

9456 = 24×31×1971

∴ So by taking common prime factors GCF of 9450 and 9456 is 6

Greatest Common Factor of 9450 and 9456 by matching factors method

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

Factors of 9456

List of positive integer factors of 9456 that divides 9456 without a remainder.

1,2,3,4,6,8,12,16,24,48,197,394,591,788,1182,1576,2364,3152,4728,9456

Greatest Common Factor

We found the factors and prime factorization of 9450 and 9456. The biggest common factor number is the GCF number.
So the greatest common factor 9450 and 9456 is 6.

Also check out the Least Common Multiple of 9450 and 9456

Properties of GCF 9450 and 9456

(i) The GCF of 9450 and 9456 is associative

GCF of 9450 and 9456 = GCF of 9456 and 9450

Related Greatest Common Factor of 9450

Related Greatest Common Factor of 9456

Frequently Asked Questions on GCF of 9450 and 9456

1. What is the GCF of 9450 and 9456?

Answer: GCF of 9450 and 9456 is 6.

2. 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.

3. What are the Factors of 9456?

Answer: Factors of 9456 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 197, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 9456. There are 20 integers that are factors of 9456. The greatest factor of 9456 is 9456.

4. How to Find the GCF of 9450 and 9456?

Answer:

Greatest Common Factor of 9450 and 9456 = 6

Step 1: Find the prime factorization of 9450

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

Step 2: Find the prime factorization of 9456

9456 = 2 x 2 x 2 x 2 x 3 x 197

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 9450 and 9456 is 6