Greatest Common Factor of 9038 and 9039

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 9038, 9039 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9038 and 9039 is 1.

GCF(9038,9039) = 1

GCF of 9038 and 9039

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

GCF of:
and

Greatest Common Factor of 9038 and 9039

GCF of 9038 and 9039 is 1

Prime Factorization of 9038


2 9038
4519 4519
1

Prime factors of 9038 are 2,4519. Prime factorization of 9038 in exponential form is:

9038 = 21×45191

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

∴ So by taking common prime factors GCF of 9038 and 9039 is 1

Greatest Common Factor of 9038 and 9039 by matching factors method

Factors of 9038

List of positive integer factors of 9038 that divides 9038 without a remainder.

1,2,4519,9038

Factors of 9039

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

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

Greatest Common Factor

We found the factors and prime factorization of 9038 and 9039. The biggest common factor number is the GCF number.
So the greatest common factor 9038 and 9039 is 1.

Also check out the Least Common Multiple of 9038 and 9039

Properties of GCF 9038 and 9039

(i) The GCF of 9038 and 9039 is associative

GCF of 9038 and 9039 = GCF of 9039 and 9038

Frequently Asked Questions on GCF of 9038 and 9039

1. What is the GCF of 9038 and 9039?

Answer: GCF of 9038 and 9039 is 1.

2. What are the Factors of 9038?

Answer: Factors of 9038 are 1, 2, 4519, 9038. There are 4 integers that are factors of 9038. The greatest factor of 9038 is 9038.

3. 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.

4. How to Find the GCF of 9038 and 9039?

Answer:

Greatest Common Factor of 9038 and 9039 = 1

Step 1: Find the prime factorization of 9038

9038 = 2 x 4519

Step 2: Find the prime factorization of 9039

9039 = 3 x 23 x 131

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 9038 and 9039 is 1