Greatest Common Factor of 30002 and 30009

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 30002, 30009 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 30002 and 30009 is 7.

GCF(30002,30009) = 7

GCF of 30002 and 30009

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

GCF of:
and

Greatest Common Factor of 30002 and 30009

GCF of 30002 and 30009 is 7

Prime Factorization of 30002


2 30002
7 15001
2143 2143
1

Prime factors of 30002 are 2,7,2143. Prime factorization of 30002 in exponential form is:

30002 = 21×71×21431

Prime Factorization of 30009


3 30009
7 10003
1429 1429
1

Prime factors of 30009 are 3,7,1429. Prime factorization of 30009 in exponential form is:

30009 = 31×71×14291

∴ So by taking common prime factors GCF of 30002 and 30009 is 7

Greatest Common Factor of 30002 and 30009 by matching factors method

Factors of 30002

List of positive integer factors of 30002 that divides 30002 without a remainder.

1,2,7,14,2143,4286,15001,30002

Factors of 30009

List of positive integer factors of 30009 that divides 30009 without a remainder.

1,3,7,21,1429,4287,10003,30009

Greatest Common Factor

We found the factors and prime factorization of 30002 and 30009. The biggest common factor number is the GCF number.
So the greatest common factor 30002 and 30009 is 7.

Also check out the Least Common Multiple of 30002 and 30009

Properties of GCF 30002 and 30009

(i) The GCF of 30002 and 30009 is associative

GCF of 30002 and 30009 = GCF of 30009 and 30002

Related Greatest Common Factor of 30002

Related Greatest Common Factor of 30009

Frequently Asked Questions on GCF of 30002 and 30009

1. What is the GCF of 30002 and 30009?

Answer: GCF of 30002 and 30009 is 7.

2. What are the Factors of 30002?

Answer: Factors of 30002 are 1, 2, 7, 14, 2143, 4286, 15001, 30002. There are 8 integers that are factors of 30002. The greatest factor of 30002 is 30002.

3. What are the Factors of 30009?

Answer: Factors of 30009 are 1, 3, 7, 21, 1429, 4287, 10003, 30009. There are 8 integers that are factors of 30009. The greatest factor of 30009 is 30009.

4. How to Find the GCF of 30002 and 30009?

Answer:

Greatest Common Factor of 30002 and 30009 = 7

Step 1: Find the prime factorization of 30002

30002 = 2 x 7 x 2143

Step 2: Find the prime factorization of 30009

30009 = 3 x 7 x 1429

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 30002 and 30009 is 7