Greatest Common Factor of 30022 and 30030

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 30022, 30030 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 30022 and 30030 is 2.

GCF(30022,30030) = 2

GCF of 30022 and 30030

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

GCF of:
and

Greatest Common Factor of 30022 and 30030

GCF of 30022 and 30030 is 2

Prime Factorization of 30022


2 30022
17 15011
883 883
1

Prime factors of 30022 are 2,17,883. Prime factorization of 30022 in exponential form is:

30022 = 21×171×8831

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

∴ So by taking common prime factors GCF of 30022 and 30030 is 2

Greatest Common Factor of 30022 and 30030 by matching factors method

Factors of 30022

List of positive integer factors of 30022 that divides 30022 without a remainder.

1,2,17,34,883,1766,15011,30022

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

Greatest Common Factor

We found the factors and prime factorization of 30022 and 30030. The biggest common factor number is the GCF number.
So the greatest common factor 30022 and 30030 is 2.

Also check out the Least Common Multiple of 30022 and 30030

Properties of GCF 30022 and 30030

(i) The GCF of 30022 and 30030 is associative

GCF of 30022 and 30030 = GCF of 30030 and 30022

Related Greatest Common Factor of 30022

Related Greatest Common Factor of 30030

Frequently Asked Questions on GCF of 30022 and 30030

1. What is the GCF of 30022 and 30030?

Answer: GCF of 30022 and 30030 is 2.

2. What are the Factors of 30022?

Answer: Factors of 30022 are 1, 2, 17, 34, 883, 1766, 15011, 30022. There are 8 integers that are factors of 30022. The greatest factor of 30022 is 30022.

3. 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.

4. How to Find the GCF of 30022 and 30030?

Answer:

Greatest Common Factor of 30022 and 30030 = 2

Step 1: Find the prime factorization of 30022

30022 = 2 x 17 x 883

Step 2: Find the prime factorization of 30030

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

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 30022 and 30030 is 2