Greatest Common Factor of 30030 and 30034

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 30030, 30034 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 30030 and 30034 is 2.

GCF(30030,30034) = 2

GCF of 30030 and 30034

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

GCF of:
and

Greatest Common Factor of 30030 and 30034

GCF of 30030 and 30034 is 2

Prime Factorization of 30030


2 30030
3 15015
5 5005
7 1001
11 143
13 13
1

Prime factors of 30030 are 2,3,5,7,11,13. Prime factorization of 30030 in exponential form is:

30030 = 21×31×51×71×111×131

Prime Factorization of 30034


2 30034
15017 15017
1

Prime factors of 30034 are 2,15017. Prime factorization of 30034 in exponential form is:

30034 = 21×150171

∴ So by taking common prime factors GCF of 30030 and 30034 is 2

Greatest Common Factor of 30030 and 30034 by matching factors method

Factors of 30030

List of positive integer factors of 30030 that divides 30030 without a remainder.

1,2,3,5,6,7,10,11,13,14,15,21,22,26,30,33,35,39,42,55,65,66,70,77,78,91,105,110,130,143,154,165,182,195,210,231,273,286,330,385,390,429,455,462,546,715,770,858,910,1001,1155,1365,1430,2002,2145,2310,2730,3003,4290,5005,6006,10010,15015,30030

Factors of 30034

List of positive integer factors of 30034 that divides 30034 without a remainder.

1,2,15017,30034

Greatest Common Factor

We found the factors and prime factorization of 30030 and 30034. The biggest common factor number is the GCF number.
So the greatest common factor 30030 and 30034 is 2.

Also check out the Least Common Multiple of 30030 and 30034

Properties of GCF 30030 and 30034

(i) The GCF of 30030 and 30034 is associative

GCF of 30030 and 30034 = GCF of 30034 and 30030

Related Greatest Common Factor of 30030

Related Greatest Common Factor of 30034

Frequently Asked Questions on GCF of 30030 and 30034

1. What is the GCF of 30030 and 30034?

Answer: GCF of 30030 and 30034 is 2.

2. What are the Factors of 30030?

Answer: Factors of 30030 are 1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 21, 22, 26, 30, 33, 35, 39, 42, 55, 65, 66, 70, 77, 78, 91, 105, 110, 130, 143, 154, 165, 182, 195, 210, 231, 273, 286, 330, 385, 390, 429, 455, 462, 546, 715, 770, 858, 910, 1001, 1155, 1365, 1430, 2002, 2145, 2310, 2730, 3003, 4290, 5005, 6006, 10010, 15015, 30030. There are 64 integers that are factors of 30030. The greatest factor of 30030 is 30030.

3. What are the Factors of 30034?

Answer: Factors of 30034 are 1, 2, 15017, 30034. There are 4 integers that are factors of 30034. The greatest factor of 30034 is 30034.

4. How to Find the GCF of 30030 and 30034?

Answer:

Greatest Common Factor of 30030 and 30034 = 2

Step 1: Find the prime factorization of 30030

30030 = 2 x 3 x 5 x 7 x 11 x 13

Step 2: Find the prime factorization of 30034

30034 = 2 x 15017

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 30030 and 30034 is 2