Greatest Common Factor of 30017 and 30024

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 30017, 30024 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 30017 and 30024 is 1.

GCF(30017,30024) = 1

GCF of 30017 and 30024

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

GCF of:
and

Greatest Common Factor of 30017 and 30024

GCF of 30017 and 30024 is 1

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

Prime Factorization of 30024


2 30024
2 15012
2 7506
3 3753
3 1251
3 417
139 139
1

Prime factors of 30024 are 2,3,139. Prime factorization of 30024 in exponential form is:

30024 = 23×33×1391

∴ So by taking common prime factors GCF of 30017 and 30024 is 1

Greatest Common Factor of 30017 and 30024 by matching factors method

Factors of 30017

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

1,13,2309,30017

Factors of 30024

List of positive integer factors of 30024 that divides 30024 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,139,216,278,417,556,834,1112,1251,1668,2502,3336,3753,5004,7506,10008,15012,30024

Greatest Common Factor

We found the factors and prime factorization of 30017 and 30024. The biggest common factor number is the GCF number.
So the greatest common factor 30017 and 30024 is 1.

Also check out the Least Common Multiple of 30017 and 30024

Properties of GCF 30017 and 30024

(i) The GCF of 30017 and 30024 is associative

GCF of 30017 and 30024 = GCF of 30024 and 30017

Related Greatest Common Factor of 30017

Related Greatest Common Factor of 30024

Frequently Asked Questions on GCF of 30017 and 30024

1. What is the GCF of 30017 and 30024?

Answer: GCF of 30017 and 30024 is 1.

2. 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.

3. What are the Factors of 30024?

Answer: Factors of 30024 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 139, 216, 278, 417, 556, 834, 1112, 1251, 1668, 2502, 3336, 3753, 5004, 7506, 10008, 15012, 30024. There are 32 integers that are factors of 30024. The greatest factor of 30024 is 30024.

4. How to Find the GCF of 30017 and 30024?

Answer:

Greatest Common Factor of 30017 and 30024 = 1

Step 1: Find the prime factorization of 30017

30017 = 13 x 2309

Step 2: Find the prime factorization of 30024

30024 = 2 x 2 x 2 x 3 x 3 x 3 x 139

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 30017 and 30024 is 1