Greatest Common Factor of 9036 and 9038

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 9036, 9038 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9036 and 9038 is 2.

GCF(9036,9038) = 2

GCF of 9036 and 9038

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

GCF of:
and

Greatest Common Factor of 9036 and 9038

GCF of 9036 and 9038 is 2

Prime Factorization of 9036


2 9036
2 4518
3 2259
3 753
251 251
1

Prime factors of 9036 are 2,3,251. Prime factorization of 9036 in exponential form is:

9036 = 22×32×2511

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

∴ So by taking common prime factors GCF of 9036 and 9038 is 2

Greatest Common Factor of 9036 and 9038 by matching factors method

Factors of 9036

List of positive integer factors of 9036 that divides 9036 without a remainder.

1,2,3,4,6,9,12,18,36,251,502,753,1004,1506,2259,3012,4518,9036

Factors of 9038

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

1,2,4519,9038

Greatest Common Factor

We found the factors and prime factorization of 9036 and 9038. The biggest common factor number is the GCF number.
So the greatest common factor 9036 and 9038 is 2.

Also check out the Least Common Multiple of 9036 and 9038

Properties of GCF 9036 and 9038

(i) The GCF of 9036 and 9038 is associative

GCF of 9036 and 9038 = GCF of 9038 and 9036

Related Greatest Common Factor of 9036

Related Greatest Common Factor of 9038

Frequently Asked Questions on GCF of 9036 and 9038

1. What is the GCF of 9036 and 9038?

Answer: GCF of 9036 and 9038 is 2.

2. What are the Factors of 9036?

Answer: Factors of 9036 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036. There are 18 integers that are factors of 9036. The greatest factor of 9036 is 9036.

3. 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.

4. How to Find the GCF of 9036 and 9038?

Answer:

Greatest Common Factor of 9036 and 9038 = 2

Step 1: Find the prime factorization of 9036

9036 = 2 x 2 x 3 x 3 x 251

Step 2: Find the prime factorization of 9038

9038 = 2 x 4519

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9036 and 9038 is 2