Greatest Common Factor of 42014 and 42017

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 42014, 42017 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42014 and 42017 is 1.

GCF(42014,42017) = 1

GCF of 42014 and 42017

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

GCF of:
and

Greatest Common Factor of 42014 and 42017

GCF of 42014 and 42017 is 1

Prime Factorization of 42014


2 42014
7 21007
3001 3001
1

Prime factors of 42014 are 2,7,3001. Prime factorization of 42014 in exponential form is:

42014 = 21×71×30011

Prime Factorization of 42017


42017 42017
1

Prime factors of 42017 are 42017. Prime factorization of 42017 in exponential form is:

42017 = 420171

∴ So by taking common prime factors GCF of 42014 and 42017 is 1

Greatest Common Factor of 42014 and 42017 by matching factors method

Factors of 42014

List of positive integer factors of 42014 that divides 42014 without a remainder.

1,2,7,14,3001,6002,21007,42014

Factors of 42017

List of positive integer factors of 42017 that divides 42017 without a remainder.

1,42017

Greatest Common Factor

We found the factors and prime factorization of 42014 and 42017. The biggest common factor number is the GCF number.
So the greatest common factor 42014 and 42017 is 1.

Also check out the Least Common Multiple of 42014 and 42017

Properties of GCF 42014 and 42017

(i) The GCF of 42014 and 42017 is associative

GCF of 42014 and 42017 = GCF of 42017 and 42014

Related Greatest Common Factor of 42014

Related Greatest Common Factor of 42017

Frequently Asked Questions on GCF of 42014 and 42017

1. What is the GCF of 42014 and 42017?

Answer: GCF of 42014 and 42017 is 1.

2. What are the Factors of 42014?

Answer: Factors of 42014 are 1, 2, 7, 14, 3001, 6002, 21007, 42014. There are 8 integers that are factors of 42014. The greatest factor of 42014 is 42014.

3. What are the Factors of 42017?

Answer: Factors of 42017 are 1, 42017. There are 2 integers that are factors of 42017. The greatest factor of 42017 is 42017.

4. How to Find the GCF of 42014 and 42017?

Answer:

Greatest Common Factor of 42014 and 42017 = 1

Step 1: Find the prime factorization of 42014

42014 = 2 x 7 x 3001

Step 2: Find the prime factorization of 42017

42017 = 42017

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 42014 and 42017 is 1