Greatest Common Factor of 42002 and 42005

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, 42005 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42002 and 42005 is 1.

GCF(42002,42005) = 1

GCF of 42002 and 42005

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

GCF of:
and

Greatest Common Factor of 42002 and 42005

GCF of 42002 and 42005 is 1

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 42005


5 42005
31 8401
271 271
1

Prime factors of 42005 are 5,31,271. Prime factorization of 42005 in exponential form is:

42005 = 51×311×2711

∴ So by taking common prime factors GCF of 42002 and 42005 is 1

Greatest Common Factor of 42002 and 42005 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 42005

List of positive integer factors of 42005 that divides 42005 without a remainder.

1,5,31,155,271,1355,8401,42005

Greatest Common Factor

We found the factors and prime factorization of 42002 and 42005. The biggest common factor number is the GCF number.
So the greatest common factor 42002 and 42005 is 1.

Also check out the Least Common Multiple of 42002 and 42005

Properties of GCF 42002 and 42005

(i) The GCF of 42002 and 42005 is associative

GCF of 42002 and 42005 = GCF of 42005 and 42002

Related Greatest Common Factor of 42002

Related Greatest Common Factor of 42005

Frequently Asked Questions on GCF of 42002 and 42005

1. What is the GCF of 42002 and 42005?

Answer: GCF of 42002 and 42005 is 1.

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 42005?

Answer: Factors of 42005 are 1, 5, 31, 155, 271, 1355, 8401, 42005. There are 8 integers that are factors of 42005. The greatest factor of 42005 is 42005.

4. How to Find the GCF of 42002 and 42005?

Answer:

Greatest Common Factor of 42002 and 42005 = 1

Step 1: Find the prime factorization of 42002

42002 = 2 x 21001

Step 2: Find the prime factorization of 42005

42005 = 5 x 31 x 271

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 42002 and 42005 is 1