Greatest Common Factor of 30012 and 30017

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 30012, 30017 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 30012 and 30017 is 1.

GCF(30012,30017) = 1

GCF of 30012 and 30017

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

GCF of:
and

Greatest Common Factor of 30012 and 30017

GCF of 30012 and 30017 is 1

Prime Factorization of 30012


2 30012
2 15006
3 7503
41 2501
61 61
1

Prime factors of 30012 are 2,3,41,61. Prime factorization of 30012 in exponential form is:

30012 = 22×31×411×611

Prime Factorization of 30017


13 30017
2309 2309
1

Prime factors of 30017 are 13,2309. Prime factorization of 30017 in exponential form is:

30017 = 131×23091

∴ So by taking common prime factors GCF of 30012 and 30017 is 1

Greatest Common Factor of 30012 and 30017 by matching factors method

Factors of 30012

List of positive integer factors of 30012 that divides 30012 without a remainder.

1,2,3,4,6,12,41,61,82,122,123,164,183,244,246,366,492,732,2501,5002,7503,10004,15006,30012

Factors of 30017

List of positive integer factors of 30017 that divides 30017 without a remainder.

1,13,2309,30017

Greatest Common Factor

We found the factors and prime factorization of 30012 and 30017. The biggest common factor number is the GCF number.
So the greatest common factor 30012 and 30017 is 1.

Also check out the Least Common Multiple of 30012 and 30017

Properties of GCF 30012 and 30017

(i) The GCF of 30012 and 30017 is associative

GCF of 30012 and 30017 = GCF of 30017 and 30012

Related Greatest Common Factor of 30012

Related Greatest Common Factor of 30017

Frequently Asked Questions on GCF of 30012 and 30017

1. What is the GCF of 30012 and 30017?

Answer: GCF of 30012 and 30017 is 1.

2. What are the Factors of 30012?

Answer: Factors of 30012 are 1, 2, 3, 4, 6, 12, 41, 61, 82, 122, 123, 164, 183, 244, 246, 366, 492, 732, 2501, 5002, 7503, 10004, 15006, 30012. There are 24 integers that are factors of 30012. The greatest factor of 30012 is 30012.

3. What are the Factors of 30017?

Answer: Factors of 30017 are 1, 13, 2309, 30017. There are 4 integers that are factors of 30017. The greatest factor of 30017 is 30017.

4. How to Find the GCF of 30012 and 30017?

Answer:

Greatest Common Factor of 30012 and 30017 = 1

Step 1: Find the prime factorization of 30012

30012 = 2 x 2 x 3 x 41 x 61

Step 2: Find the prime factorization of 30017

30017 = 13 x 2309

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 30012 and 30017 is 1