Greatest Common Factor of 9150 and 9154

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 9150, 9154 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9150 and 9154 is 2.

GCF(9150,9154) = 2

GCF of 9150 and 9154

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

GCF of:
and

Greatest Common Factor of 9150 and 9154

GCF of 9150 and 9154 is 2

Prime Factorization of 9150


2 9150
3 4575
5 1525
5 305
61 61
1

Prime factors of 9150 are 2,3,5,61. Prime factorization of 9150 in exponential form is:

9150 = 21×31×52×611

Prime Factorization of 9154


2 9154
23 4577
199 199
1

Prime factors of 9154 are 2,23,199. Prime factorization of 9154 in exponential form is:

9154 = 21×231×1991

∴ So by taking common prime factors GCF of 9150 and 9154 is 2

Greatest Common Factor of 9150 and 9154 by matching factors method

Factors of 9150

List of positive integer factors of 9150 that divides 9150 without a remainder.

1,2,3,5,6,10,15,25,30,50,61,75,122,150,183,305,366,610,915,1525,1830,3050,4575,9150

Factors of 9154

List of positive integer factors of 9154 that divides 9154 without a remainder.

1,2,23,46,199,398,4577,9154

Greatest Common Factor

We found the factors and prime factorization of 9150 and 9154. The biggest common factor number is the GCF number.
So the greatest common factor 9150 and 9154 is 2.

Also check out the Least Common Multiple of 9150 and 9154

Properties of GCF 9150 and 9154

(i) The GCF of 9150 and 9154 is associative

GCF of 9150 and 9154 = GCF of 9154 and 9150

Related Greatest Common Factor of 9150

Related Greatest Common Factor of 9154

Frequently Asked Questions on GCF of 9150 and 9154

1. What is the GCF of 9150 and 9154?

Answer: GCF of 9150 and 9154 is 2.

2. What are the Factors of 9150?

Answer: Factors of 9150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 150, 183, 305, 366, 610, 915, 1525, 1830, 3050, 4575, 9150. There are 24 integers that are factors of 9150. The greatest factor of 9150 is 9150.

3. What are the Factors of 9154?

Answer: Factors of 9154 are 1, 2, 23, 46, 199, 398, 4577, 9154. There are 8 integers that are factors of 9154. The greatest factor of 9154 is 9154.

4. How to Find the GCF of 9150 and 9154?

Answer:

Greatest Common Factor of 9150 and 9154 = 2

Step 1: Find the prime factorization of 9150

9150 = 2 x 3 x 5 x 5 x 61

Step 2: Find the prime factorization of 9154

9154 = 2 x 23 x 199

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 9150 and 9154 is 2