Greatest Common Factor of 9045 and 9049

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 9045, 9049 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9045 and 9049 is 1.

GCF(9045,9049) = 1

GCF of 9045 and 9049

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

GCF of:
and

Greatest Common Factor of 9045 and 9049

GCF of 9045 and 9049 is 1

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

Prime Factorization of 9049


9049 9049
1

Prime factors of 9049 are 9049. Prime factorization of 9049 in exponential form is:

9049 = 90491

∴ So by taking common prime factors GCF of 9045 and 9049 is 1

Greatest Common Factor of 9045 and 9049 by matching factors method

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

Factors of 9049

List of positive integer factors of 9049 that divides 9049 without a remainder.

1,9049

Greatest Common Factor

We found the factors and prime factorization of 9045 and 9049. The biggest common factor number is the GCF number.
So the greatest common factor 9045 and 9049 is 1.

Also check out the Least Common Multiple of 9045 and 9049

Properties of GCF 9045 and 9049

(i) The GCF of 9045 and 9049 is associative

GCF of 9045 and 9049 = GCF of 9049 and 9045

Frequently Asked Questions on GCF of 9045 and 9049

1. What is the GCF of 9045 and 9049?

Answer: GCF of 9045 and 9049 is 1.

2. 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.

3. What are the Factors of 9049?

Answer: Factors of 9049 are 1, 9049. There are 2 integers that are factors of 9049. The greatest factor of 9049 is 9049.

4. How to Find the GCF of 9045 and 9049?

Answer:

Greatest Common Factor of 9045 and 9049 = 1

Step 1: Find the prime factorization of 9045

9045 = 3 x 3 x 3 x 5 x 67

Step 2: Find the prime factorization of 9049

9049 = 9049

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9045 and 9049 is 1