Greatest Common Factor of 42010 and 42018

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 42010, 42018 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42010 and 42018 is 2.

GCF(42010,42018) = 2

GCF of 42010 and 42018

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

GCF of:
and

Greatest Common Factor of 42010 and 42018

GCF of 42010 and 42018 is 2

Prime Factorization of 42010


2 42010
5 21005
4201 4201
1

Prime factors of 42010 are 2,5,4201. Prime factorization of 42010 in exponential form is:

42010 = 21×51×42011

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

∴ So by taking common prime factors GCF of 42010 and 42018 is 2

Greatest Common Factor of 42010 and 42018 by matching factors method

Factors of 42010

List of positive integer factors of 42010 that divides 42010 without a remainder.

1,2,5,10,4201,8402,21005,42010

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

Greatest Common Factor

We found the factors and prime factorization of 42010 and 42018. The biggest common factor number is the GCF number.
So the greatest common factor 42010 and 42018 is 2.

Also check out the Least Common Multiple of 42010 and 42018

Properties of GCF 42010 and 42018

(i) The GCF of 42010 and 42018 is associative

GCF of 42010 and 42018 = GCF of 42018 and 42010

Related Greatest Common Factor of 42010

Related Greatest Common Factor of 42018

Frequently Asked Questions on GCF of 42010 and 42018

1. What is the GCF of 42010 and 42018?

Answer: GCF of 42010 and 42018 is 2.

2. What are the Factors of 42010?

Answer: Factors of 42010 are 1, 2, 5, 10, 4201, 8402, 21005, 42010. There are 8 integers that are factors of 42010. The greatest factor of 42010 is 42010.

3. 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.

4. How to Find the GCF of 42010 and 42018?

Answer:

Greatest Common Factor of 42010 and 42018 = 2

Step 1: Find the prime factorization of 42010

42010 = 2 x 5 x 4201

Step 2: Find the prime factorization of 42018

42018 = 2 x 3 x 47 x 149

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

GCF = 2

Step 4: Therefore, the greatest common factor of 42010 and 42018 is 2