Greatest Common Factor of 42019 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 42019, 42024 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42019 and 42024 is 1.

GCF(42019,42024) = 1

GCF of 42019 and 42024

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

GCF of:
and

Greatest Common Factor of 42019 and 42024

GCF of 42019 and 42024 is 1

Prime Factorization of 42019


42019 42019
1

Prime factors of 42019 are 42019. Prime factorization of 42019 in exponential form is:

42019 = 420191

Prime Factorization of 42024


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

Prime factors of 42024 are 2.Prime factorization of 42024 in exponential form is:

42024 = 23×31×171×1031

∴ So by taking common prime factors GCF of 42019 and 42024 is 1

Greatest Common Factor of 42019 and 42024 by matching factors method

Factors of 42019

List of positive integer factors of 42019 that divides 42019 without a remainder.

1,42019

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 42019 and 42024. The biggest common factor number is the GCF number.
So the greatest common factor 42019 and 42024 is 1.

Also check out the Least Common Multiple of 42019 and 42024

Properties of GCF 42019 and 42024

(i) The GCF of 42019 and 42024 is associative

GCF of 42019 and 42024 = GCF of 42024 and 42019

Related Greatest Common Factor of 42019

Related Greatest Common Factor of 42024

Frequently Asked Questions on GCF of 42019 and 42024

1. What is the GCF of 42019 and 42024?

Answer: GCF of 42019 and 42024 is 1.

2. What are the Factors of 42019?

Answer: Factors of 42019 are 1, 42019. There are 2 integers that are factors of 42019. The greatest factor of 42019 is 42019.

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 42019 and 42024?

Answer:

Greatest Common Factor of 42019 and 42024 = 1

Step 1: Find the prime factorization of 42019

42019 = 42019

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 = = 1

Step 4: Therefore, the greatest common factor of 42019 and 42024 is 1