Greatest Common Factor of 9039 and 9045

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 9039, 9045 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9039 and 9045 is 3.

GCF(9039,9045) = 3

GCF of 9039 and 9045

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

GCF of:
and

Greatest Common Factor of 9039 and 9045

GCF of 9039 and 9045 is 3

Prime Factorization of 9039


3 9039
23 3013
131 131
1

Prime factors of 9039 are 3,23,131. Prime factorization of 9039 in exponential form is:

9039 = 31×231×1311

Prime Factorization of 9045


3 9045
3 3015
3 1005
5 335
67 67
1

Prime factors of 9045 are 3,5,67. Prime factorization of 9045 in exponential form is:

9045 = 33×51×671

∴ So by taking common prime factors GCF of 9039 and 9045 is 3

Greatest Common Factor of 9039 and 9045 by matching factors method

Factors of 9039

List of positive integer factors of 9039 that divides 9039 without a remainder.

1,3,23,69,131,393,3013,9039

Factors of 9045

List of positive integer factors of 9045 that divides 9045 without a remainder.

1,3,5,9,15,27,45,67,135,201,335,603,1005,1809,3015,9045

Greatest Common Factor

We found the factors and prime factorization of 9039 and 9045. The biggest common factor number is the GCF number.
So the greatest common factor 9039 and 9045 is 3.

Also check out the Least Common Multiple of 9039 and 9045

Properties of GCF 9039 and 9045

(i) The GCF of 9039 and 9045 is associative

GCF of 9039 and 9045 = GCF of 9045 and 9039

Related Greatest Common Factor of 9039

Related Greatest Common Factor of 9045

Frequently Asked Questions on GCF of 9039 and 9045

1. What is the GCF of 9039 and 9045?

Answer: GCF of 9039 and 9045 is 3.

2. What are the Factors of 9039?

Answer: Factors of 9039 are 1, 3, 23, 69, 131, 393, 3013, 9039. There are 8 integers that are factors of 9039. The greatest factor of 9039 is 9039.

3. What are the Factors of 9045?

Answer: Factors of 9045 are 1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015, 9045. There are 16 integers that are factors of 9045. The greatest factor of 9045 is 9045.

4. How to Find the GCF of 9039 and 9045?

Answer:

Greatest Common Factor of 9039 and 9045 = 3

Step 1: Find the prime factorization of 9039

9039 = 3 x 23 x 131

Step 2: Find the prime factorization of 9045

9045 = 3 x 3 x 3 x 5 x 67

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9039 and 9045 is 3