Greatest Common Factor of 42002 and 42010

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 42002, 42010 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42002 and 42010 is 2.

GCF(42002,42010) = 2

GCF of 42002 and 42010

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

GCF of:
and

Greatest Common Factor of 42002 and 42010

GCF of 42002 and 42010 is 2

Prime Factorization of 42002


2 42002
21001 21001
1

Prime factors of 42002 are 2,21001. Prime factorization of 42002 in exponential form is:

42002 = 21×210011

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

∴ So by taking common prime factors GCF of 42002 and 42010 is 2

Greatest Common Factor of 42002 and 42010 by matching factors method

Factors of 42002

List of positive integer factors of 42002 that divides 42002 without a remainder.

1,2,21001,42002

Factors of 42010

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

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

Greatest Common Factor

We found the factors and prime factorization of 42002 and 42010. The biggest common factor number is the GCF number.
So the greatest common factor 42002 and 42010 is 2.

Also check out the Least Common Multiple of 42002 and 42010

Properties of GCF 42002 and 42010

(i) The GCF of 42002 and 42010 is associative

GCF of 42002 and 42010 = GCF of 42010 and 42002

Related Greatest Common Factor of 42002

Related Greatest Common Factor of 42010

Frequently Asked Questions on GCF of 42002 and 42010

1. What is the GCF of 42002 and 42010?

Answer: GCF of 42002 and 42010 is 2.

2. What are the Factors of 42002?

Answer: Factors of 42002 are 1, 2, 21001, 42002. There are 4 integers that are factors of 42002. The greatest factor of 42002 is 42002.

3. 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.

4. How to Find the GCF of 42002 and 42010?

Answer:

Greatest Common Factor of 42002 and 42010 = 2

Step 1: Find the prime factorization of 42002

42002 = 2 x 21001

Step 2: Find the prime factorization of 42010

42010 = 2 x 5 x 4201

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 42002 and 42010 is 2