Greatest Common Factor of 30002 and 30008

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, 30008 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 30002 and 30008 is 2.

GCF(30002,30008) = 2

GCF of 30002 and 30008

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

GCF of:
and

Greatest Common Factor of 30002 and 30008

GCF of 30002 and 30008 is 2

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 30008


2 30008
2 15004
2 7502
11 3751
11 341
31 31
1

Prime factors of 30008 are 2,11,31. Prime factorization of 30008 in exponential form is:

30008 = 23×112×311

∴ So by taking common prime factors GCF of 30002 and 30008 is 2

Greatest Common Factor of 30002 and 30008 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 30008

List of positive integer factors of 30008 that divides 30008 without a remainder.

1,2,4,8,11,22,31,44,62,88,121,124,242,248,341,484,682,968,1364,2728,3751,7502,15004,30008

Greatest Common Factor

We found the factors and prime factorization of 30002 and 30008. The biggest common factor number is the GCF number.
So the greatest common factor 30002 and 30008 is 2.

Also check out the Least Common Multiple of 30002 and 30008

Properties of GCF 30002 and 30008

(i) The GCF of 30002 and 30008 is associative

GCF of 30002 and 30008 = GCF of 30008 and 30002

Related Greatest Common Factor of 30002

Related Greatest Common Factor of 30008

Frequently Asked Questions on GCF of 30002 and 30008

1. What is the GCF of 30002 and 30008?

Answer: GCF of 30002 and 30008 is 2.

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 30008?

Answer: Factors of 30008 are 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 121, 124, 242, 248, 341, 484, 682, 968, 1364, 2728, 3751, 7502, 15004, 30008. There are 24 integers that are factors of 30008. The greatest factor of 30008 is 30008.

4. How to Find the GCF of 30002 and 30008?

Answer:

Greatest Common Factor of 30002 and 30008 = 2

Step 1: Find the prime factorization of 30002

30002 = 2 x 7 x 2143

Step 2: Find the prime factorization of 30008

30008 = 2 x 2 x 2 x 11 x 11 x 31

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 30002 and 30008 is 2