Greatest Common Factor of 9002 and 9006

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, 9006 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9002 and 9006 is 2.

GCF(9002,9006) = 2

GCF of 9002 and 9006

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

GCF of:
and

Greatest Common Factor of 9002 and 9006

GCF of 9002 and 9006 is 2

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 9006


2 9006
3 4503
19 1501
79 79
1

Prime factors of 9006 are 2,3,19,79. Prime factorization of 9006 in exponential form is:

9006 = 21×31×191×791

∴ So by taking common prime factors GCF of 9002 and 9006 is 2

Greatest Common Factor of 9002 and 9006 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 9006

List of positive integer factors of 9006 that divides 9006 without a remainder.

1,2,3,6,19,38,57,79,114,158,237,474,1501,3002,4503,9006

Greatest Common Factor

We found the factors and prime factorization of 9002 and 9006. The biggest common factor number is the GCF number.
So the greatest common factor 9002 and 9006 is 2.

Also check out the Least Common Multiple of 9002 and 9006

Properties of GCF 9002 and 9006

(i) The GCF of 9002 and 9006 is associative

GCF of 9002 and 9006 = GCF of 9006 and 9002

Related Greatest Common Factor of 9002

Related Greatest Common Factor of 9006

Frequently Asked Questions on GCF of 9002 and 9006

1. What is the GCF of 9002 and 9006?

Answer: GCF of 9002 and 9006 is 2.

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 9006?

Answer: Factors of 9006 are 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006. There are 16 integers that are factors of 9006. The greatest factor of 9006 is 9006.

4. How to Find the GCF of 9002 and 9006?

Answer:

Greatest Common Factor of 9002 and 9006 = 2

Step 1: Find the prime factorization of 9002

9002 = 2 x 7 x 643

Step 2: Find the prime factorization of 9006

9006 = 2 x 3 x 19 x 79

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 9002 and 9006 is 2