Greatest Common Factor of 9450 and 9458

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, 9458 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9450 and 9458 is 2.

GCF(9450,9458) = 2

GCF of 9450 and 9458

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

GCF of:
and

Greatest Common Factor of 9450 and 9458

GCF of 9450 and 9458 is 2

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 9458


2 9458
4729 4729
1

Prime factors of 9458 are 2,4729. Prime factorization of 9458 in exponential form is:

9458 = 21×47291

∴ So by taking common prime factors GCF of 9450 and 9458 is 2

Greatest Common Factor of 9450 and 9458 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 9458

List of positive integer factors of 9458 that divides 9458 without a remainder.

1,2,4729,9458

Greatest Common Factor

We found the factors and prime factorization of 9450 and 9458. The biggest common factor number is the GCF number.
So the greatest common factor 9450 and 9458 is 2.

Also check out the Least Common Multiple of 9450 and 9458

Properties of GCF 9450 and 9458

(i) The GCF of 9450 and 9458 is associative

GCF of 9450 and 9458 = GCF of 9458 and 9450

Related Greatest Common Factor of 9450

Related Greatest Common Factor of 9458

Frequently Asked Questions on GCF of 9450 and 9458

1. What is the GCF of 9450 and 9458?

Answer: GCF of 9450 and 9458 is 2.

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 9458?

Answer: Factors of 9458 are 1, 2, 4729, 9458. There are 4 integers that are factors of 9458. The greatest factor of 9458 is 9458.

4. How to Find the GCF of 9450 and 9458?

Answer:

Greatest Common Factor of 9450 and 9458 = 2

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 9458

9458 = 2 x 4729

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9450 and 9458 is 2