Greatest Common Factor of 42018 and 42024

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 42018, 42024 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42018 and 42024 is 6.

GCF(42018,42024) = 6

GCF of 42018 and 42024

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

GCF of:
and

Greatest Common Factor of 42018 and 42024

GCF of 42018 and 42024 is 6

Prime Factorization of 42018


2 42018
3 21009
47 7003
149 149
1

Prime factors of 42018 are 2,3,47,149. Prime factorization of 42018 in exponential form is:

42018 = 21×31×471×1491

Prime Factorization of 42024


2 42024
2 21012
2 10506
3 5253
17 1751
103 103
1

Prime factors of 42024 are 2,3,17,103. Prime factorization of 42024 in exponential form is:

42024 = 23×31×171×1031

∴ So by taking common prime factors GCF of 42018 and 42024 is 6

Greatest Common Factor of 42018 and 42024 by matching factors method

Factors of 42018

List of positive integer factors of 42018 that divides 42018 without a remainder.

1,2,3,6,47,94,141,149,282,298,447,894,7003,14006,21009,42018

Factors of 42024

List of positive integer factors of 42024 that divides 42024 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,103,136,204,206,309,408,412,618,824,1236,1751,2472,3502,5253,7004,10506,14008,21012,42024

Greatest Common Factor

We found the factors and prime factorization of 42018 and 42024. The biggest common factor number is the GCF number.
So the greatest common factor 42018 and 42024 is 6.

Also check out the Least Common Multiple of 42018 and 42024

Properties of GCF 42018 and 42024

(i) The GCF of 42018 and 42024 is associative

GCF of 42018 and 42024 = GCF of 42024 and 42018

Related Greatest Common Factor of 42018

Related Greatest Common Factor of 42024

Frequently Asked Questions on GCF of 42018 and 42024

1. What is the GCF of 42018 and 42024?

Answer: GCF of 42018 and 42024 is 6.

2. What are the Factors of 42018?

Answer: Factors of 42018 are 1, 2, 3, 6, 47, 94, 141, 149, 282, 298, 447, 894, 7003, 14006, 21009, 42018. There are 16 integers that are factors of 42018. The greatest factor of 42018 is 42018.

3. What are the Factors of 42024?

Answer: Factors of 42024 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 103, 136, 204, 206, 309, 408, 412, 618, 824, 1236, 1751, 2472, 3502, 5253, 7004, 10506, 14008, 21012, 42024. There are 32 integers that are factors of 42024. The greatest factor of 42024 is 42024.

4. How to Find the GCF of 42018 and 42024?

Answer:

Greatest Common Factor of 42018 and 42024 = 6

Step 1: Find the prime factorization of 42018

42018 = 2 x 3 x 47 x 149

Step 2: Find the prime factorization of 42024

42024 = 2 x 2 x 2 x 3 x 17 x 103

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 42018 and 42024 is 6