Greatest Common Factor of 9002 and 9009

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 9002, 9009 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9002 and 9009 is 7.

GCF(9002,9009) = 7

GCF of 9002 and 9009

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

GCF of:
and

Greatest Common Factor of 9002 and 9009

GCF of 9002 and 9009 is 7

Prime Factorization of 9002


2 9002
7 4501
643 643
1

Prime factors of 9002 are 2,7,643. Prime factorization of 9002 in exponential form is:

9002 = 21×71×6431

Prime Factorization of 9009


3 9009
3 3003
7 1001
11 143
13 13
1

Prime factors of 9009 are 3,7,11,13. Prime factorization of 9009 in exponential form is:

9009 = 32×71×111×131

∴ So by taking common prime factors GCF of 9002 and 9009 is 7

Greatest Common Factor of 9002 and 9009 by matching factors method

Factors of 9002

List of positive integer factors of 9002 that divides 9002 without a remainder.

1,2,7,14,643,1286,4501,9002

Factors of 9009

List of positive integer factors of 9009 that divides 9009 without a remainder.

1,3,7,9,11,13,21,33,39,63,77,91,99,117,143,231,273,429,693,819,1001,1287,3003,9009

Greatest Common Factor

We found the factors and prime factorization of 9002 and 9009. The biggest common factor number is the GCF number.
So the greatest common factor 9002 and 9009 is 7.

Also check out the Least Common Multiple of 9002 and 9009

Properties of GCF 9002 and 9009

(i) The GCF of 9002 and 9009 is associative

GCF of 9002 and 9009 = GCF of 9009 and 9002

Related Greatest Common Factor of 9002

Related Greatest Common Factor of 9009

Frequently Asked Questions on GCF of 9002 and 9009

1. What is the GCF of 9002 and 9009?

Answer: GCF of 9002 and 9009 is 7.

2. What are the Factors of 9002?

Answer: Factors of 9002 are 1, 2, 7, 14, 643, 1286, 4501, 9002. There are 8 integers that are factors of 9002. The greatest factor of 9002 is 9002.

3. What are the Factors of 9009?

Answer: Factors of 9009 are 1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009. There are 24 integers that are factors of 9009. The greatest factor of 9009 is 9009.

4. How to Find the GCF of 9002 and 9009?

Answer:

Greatest Common Factor of 9002 and 9009 = 7

Step 1: Find the prime factorization of 9002

9002 = 2 x 7 x 643

Step 2: Find the prime factorization of 9009

9009 = 3 x 3 x 7 x 11 x 13

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9002 and 9009 is 7