Greatest Common Factor of 9034 and 9036

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 9034, 9036 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9034 and 9036 is 2.

GCF(9034,9036) = 2

GCF of 9034 and 9036

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

GCF of:
and

Greatest Common Factor of 9034 and 9036

GCF of 9034 and 9036 is 2

Prime Factorization of 9034


2 9034
4517 4517
1

Prime factors of 9034 are 2,4517. Prime factorization of 9034 in exponential form is:

9034 = 21×45171

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

∴ So by taking common prime factors GCF of 9034 and 9036 is 2

Greatest Common Factor of 9034 and 9036 by matching factors method

Factors of 9034

List of positive integer factors of 9034 that divides 9034 without a remainder.

1,2,4517,9034

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

Greatest Common Factor

We found the factors and prime factorization of 9034 and 9036. The biggest common factor number is the GCF number.
So the greatest common factor 9034 and 9036 is 2.

Also check out the Least Common Multiple of 9034 and 9036

Properties of GCF 9034 and 9036

(i) The GCF of 9034 and 9036 is associative

GCF of 9034 and 9036 = GCF of 9036 and 9034

Related Greatest Common Factor of 9034

Related Greatest Common Factor of 9036

Frequently Asked Questions on GCF of 9034 and 9036

1. What is the GCF of 9034 and 9036?

Answer: GCF of 9034 and 9036 is 2.

2. What are the Factors of 9034?

Answer: Factors of 9034 are 1, 2, 4517, 9034. There are 4 integers that are factors of 9034. The greatest factor of 9034 is 9034.

3. 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.

4. How to Find the GCF of 9034 and 9036?

Answer:

Greatest Common Factor of 9034 and 9036 = 2

Step 1: Find the prime factorization of 9034

9034 = 2 x 4517

Step 2: Find the prime factorization of 9036

9036 = 2 x 2 x 3 x 3 x 251

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 9034 and 9036 is 2