Greatest Common Factor of 9042 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 9042, 9045 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9042 and 9045 is 3.

GCF(9042,9045) = 3

GCF of 9042 and 9045

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

GCF of:
and

Greatest Common Factor of 9042 and 9045

GCF of 9042 and 9045 is 3

Prime Factorization of 9042


2 9042
3 4521
11 1507
137 137
1

Prime factors of 9042 are 2,3,11,137. Prime factorization of 9042 in exponential form is:

9042 = 21×31×111×1371

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 9042 and 9045 is 3

Greatest Common Factor of 9042 and 9045 by matching factors method

Factors of 9042

List of positive integer factors of 9042 that divides 9042 without a remainder.

1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042

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 9042 and 9045. The biggest common factor number is the GCF number.
So the greatest common factor 9042 and 9045 is 3.

Also check out the Least Common Multiple of 9042 and 9045

Properties of GCF 9042 and 9045

(i) The GCF of 9042 and 9045 is associative

GCF of 9042 and 9045 = GCF of 9045 and 9042

Related Greatest Common Factor of 9042

Related Greatest Common Factor of 9045

Frequently Asked Questions on GCF of 9042 and 9045

1. What is the GCF of 9042 and 9045?

Answer: GCF of 9042 and 9045 is 3.

2. What are the Factors of 9042?

Answer: Factors of 9042 are 1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042. There are 16 integers that are factors of 9042. The greatest factor of 9042 is 9042.

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 9042 and 9045?

Answer:

Greatest Common Factor of 9042 and 9045 = 3

Step 1: Find the prime factorization of 9042

9042 = 2 x 3 x 11 x 137

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 9042 and 9045 is 3