Greatest Common Factor of 9002 and 9007

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, 9007 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9002 and 9007 is 1.

GCF(9002,9007) = 1

GCF of 9002 and 9007

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

GCF of:
and

Greatest Common Factor of 9002 and 9007

GCF of 9002 and 9007 is 1

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 9007


9007 9007
1

Prime factors of 9007 are 9007. Prime factorization of 9007 in exponential form is:

9007 = 90071

∴ So by taking common prime factors GCF of 9002 and 9007 is 1

Greatest Common Factor of 9002 and 9007 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 9007

List of positive integer factors of 9007 that divides 9007 without a remainder.

1,9007

Greatest Common Factor

We found the factors and prime factorization of 9002 and 9007. The biggest common factor number is the GCF number.
So the greatest common factor 9002 and 9007 is 1.

Also check out the Least Common Multiple of 9002 and 9007

Properties of GCF 9002 and 9007

(i) The GCF of 9002 and 9007 is associative

GCF of 9002 and 9007 = GCF of 9007 and 9002

Related Greatest Common Factor of 9002

Related Greatest Common Factor of 9007

Frequently Asked Questions on GCF of 9002 and 9007

1. What is the GCF of 9002 and 9007?

Answer: GCF of 9002 and 9007 is 1.

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 9007?

Answer: Factors of 9007 are 1, 9007. There are 2 integers that are factors of 9007. The greatest factor of 9007 is 9007.

4. How to Find the GCF of 9002 and 9007?

Answer:

Greatest Common Factor of 9002 and 9007 = 1

Step 1: Find the prime factorization of 9002

9002 = 2 x 7 x 643

Step 2: Find the prime factorization of 9007

9007 = 9007

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 9002 and 9007 is 1