Greatest Common Factor of 9004 and 9010

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 9004, 9010 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9004 and 9010 is 2.

GCF(9004,9010) = 2

GCF of 9004 and 9010

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

GCF of:
and

Greatest Common Factor of 9004 and 9010

GCF of 9004 and 9010 is 2

Prime Factorization of 9004


2 9004
2 4502
2251 2251
1

Prime factors of 9004 are 2,2251. Prime factorization of 9004 in exponential form is:

9004 = 22×22511

Prime Factorization of 9010


2 9010
5 4505
17 901
53 53
1

Prime factors of 9010 are 2,5,17,53. Prime factorization of 9010 in exponential form is:

9010 = 21×51×171×531

∴ So by taking common prime factors GCF of 9004 and 9010 is 2

Greatest Common Factor of 9004 and 9010 by matching factors method

Factors of 9004

List of positive integer factors of 9004 that divides 9004 without a remainder.

1,2,4,2251,4502,9004

Factors of 9010

List of positive integer factors of 9010 that divides 9010 without a remainder.

1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010

Greatest Common Factor

We found the factors and prime factorization of 9004 and 9010. The biggest common factor number is the GCF number.
So the greatest common factor 9004 and 9010 is 2.

Also check out the Least Common Multiple of 9004 and 9010

Properties of GCF 9004 and 9010

(i) The GCF of 9004 and 9010 is associative

GCF of 9004 and 9010 = GCF of 9010 and 9004

Related Greatest Common Factor of 9004

Related Greatest Common Factor of 9010

Frequently Asked Questions on GCF of 9004 and 9010

1. What is the GCF of 9004 and 9010?

Answer: GCF of 9004 and 9010 is 2.

2. What are the Factors of 9004?

Answer: Factors of 9004 are 1, 2, 4, 2251, 4502, 9004. There are 6 integers that are factors of 9004. The greatest factor of 9004 is 9004.

3. What are the Factors of 9010?

Answer: Factors of 9010 are 1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010. There are 16 integers that are factors of 9010. The greatest factor of 9010 is 9010.

4. How to Find the GCF of 9004 and 9010?

Answer:

Greatest Common Factor of 9004 and 9010 = 2

Step 1: Find the prime factorization of 9004

9004 = 2 x 2 x 2251

Step 2: Find the prime factorization of 9010

9010 = 2 x 5 x 17 x 53

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 9004 and 9010 is 2