Greatest Common Factor of 9148 and 9150

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 9148, 9150 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9148 and 9150 is 2.

GCF(9148,9150) = 2

GCF of 9148 and 9150

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

GCF of:
and

Greatest Common Factor of 9148 and 9150

GCF of 9148 and 9150 is 2

Prime Factorization of 9148


2 9148
2 4574
2287 2287
1

Prime factors of 9148 are 2,2287. Prime factorization of 9148 in exponential form is:

9148 = 22×22871

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

∴ So by taking common prime factors GCF of 9148 and 9150 is 2

Greatest Common Factor of 9148 and 9150 by matching factors method

Factors of 9148

List of positive integer factors of 9148 that divides 9148 without a remainder.

1,2,4,2287,4574,9148

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

Greatest Common Factor

We found the factors and prime factorization of 9148 and 9150. The biggest common factor number is the GCF number.
So the greatest common factor 9148 and 9150 is 2.

Also check out the Least Common Multiple of 9148 and 9150

Properties of GCF 9148 and 9150

(i) The GCF of 9148 and 9150 is associative

GCF of 9148 and 9150 = GCF of 9150 and 9148

Related Greatest Common Factor of 9148

Related Greatest Common Factor of 9150

Frequently Asked Questions on GCF of 9148 and 9150

1. What is the GCF of 9148 and 9150?

Answer: GCF of 9148 and 9150 is 2.

2. What are the Factors of 9148?

Answer: Factors of 9148 are 1, 2, 4, 2287, 4574, 9148. There are 6 integers that are factors of 9148. The greatest factor of 9148 is 9148.

3. 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.

4. How to Find the GCF of 9148 and 9150?

Answer:

Greatest Common Factor of 9148 and 9150 = 2

Step 1: Find the prime factorization of 9148

9148 = 2 x 2 x 2287

Step 2: Find the prime factorization of 9150

9150 = 2 x 3 x 5 x 5 x 61

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 9148 and 9150 is 2