Greatest Common Factor of 9145 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 9145, 9150 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9145 and 9150 is 5.

GCF(9145,9150) = 5

GCF of 9145 and 9150

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

GCF of:
and

Greatest Common Factor of 9145 and 9150

GCF of 9145 and 9150 is 5

Prime Factorization of 9145


5 9145
31 1829
59 59
1

Prime factors of 9145 are 5,31,59. Prime factorization of 9145 in exponential form is:

9145 = 51×311×591

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 9145 and 9150 is 5

Greatest Common Factor of 9145 and 9150 by matching factors method

Factors of 9145

List of positive integer factors of 9145 that divides 9145 without a remainder.

1,5,31,59,155,295,1829,9145

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 9145 and 9150. The biggest common factor number is the GCF number.
So the greatest common factor 9145 and 9150 is 5.

Also check out the Least Common Multiple of 9145 and 9150

Properties of GCF 9145 and 9150

(i) The GCF of 9145 and 9150 is associative

GCF of 9145 and 9150 = GCF of 9150 and 9145

Related Greatest Common Factor of 9145

Related Greatest Common Factor of 9150

Frequently Asked Questions on GCF of 9145 and 9150

1. What is the GCF of 9145 and 9150?

Answer: GCF of 9145 and 9150 is 5.

2. What are the Factors of 9145?

Answer: Factors of 9145 are 1, 5, 31, 59, 155, 295, 1829, 9145. There are 8 integers that are factors of 9145. The greatest factor of 9145 is 9145.

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 9145 and 9150?

Answer:

Greatest Common Factor of 9145 and 9150 = 5

Step 1: Find the prime factorization of 9145

9145 = 5 x 31 x 59

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 = 5

Step 4: Therefore, the greatest common factor of 9145 and 9150 is 5