Greatest Common Factor of 9006 and 9013

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 9006, 9013 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9006 and 9013 is 1.

GCF(9006,9013) = 1

GCF of 9006 and 9013

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

GCF of:
and

Greatest Common Factor of 9006 and 9013

GCF of 9006 and 9013 is 1

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

Prime Factorization of 9013


9013 9013
1

Prime factors of 9013 are 9013. Prime factorization of 9013 in exponential form is:

9013 = 90131

∴ So by taking common prime factors GCF of 9006 and 9013 is 1

Greatest Common Factor of 9006 and 9013 by matching factors method

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

Factors of 9013

List of positive integer factors of 9013 that divides 9013 without a remainder.

1,9013

Greatest Common Factor

We found the factors and prime factorization of 9006 and 9013. The biggest common factor number is the GCF number.
So the greatest common factor 9006 and 9013 is 1.

Also check out the Least Common Multiple of 9006 and 9013

Properties of GCF 9006 and 9013

(i) The GCF of 9006 and 9013 is associative

GCF of 9006 and 9013 = GCF of 9013 and 9006

Related Greatest Common Factor of 9006

Related Greatest Common Factor of 9013

Frequently Asked Questions on GCF of 9006 and 9013

1. What is the GCF of 9006 and 9013?

Answer: GCF of 9006 and 9013 is 1.

2. 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.

3. What are the Factors of 9013?

Answer: Factors of 9013 are 1, 9013. There are 2 integers that are factors of 9013. The greatest factor of 9013 is 9013.

4. How to Find the GCF of 9006 and 9013?

Answer:

Greatest Common Factor of 9006 and 9013 = 1

Step 1: Find the prime factorization of 9006

9006 = 2 x 3 x 19 x 79

Step 2: Find the prime factorization of 9013

9013 = 9013

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9006 and 9013 is 1