Greatest Common Factor of 42005 and 42007

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 42005, 42007 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42005 and 42007 is 1.

GCF(42005,42007) = 1

GCF of 42005 and 42007

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

GCF of:
and

Greatest Common Factor of 42005 and 42007

GCF of 42005 and 42007 is 1

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

Prime Factorization of 42007


7 42007
17 6001
353 353
1

Prime factors of 42007 are 7,17,353. Prime factorization of 42007 in exponential form is:

42007 = 71×171×3531

∴ So by taking common prime factors GCF of 42005 and 42007 is 1

Greatest Common Factor of 42005 and 42007 by matching factors method

Factors of 42005

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

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

Factors of 42007

List of positive integer factors of 42007 that divides 42007 without a remainder.

1,7,17,119,353,2471,6001,42007

Greatest Common Factor

We found the factors and prime factorization of 42005 and 42007. The biggest common factor number is the GCF number.
So the greatest common factor 42005 and 42007 is 1.

Also check out the Least Common Multiple of 42005 and 42007

Properties of GCF 42005 and 42007

(i) The GCF of 42005 and 42007 is associative

GCF of 42005 and 42007 = GCF of 42007 and 42005

Related Greatest Common Factor of 42005

Related Greatest Common Factor of 42007

Frequently Asked Questions on GCF of 42005 and 42007

1. What is the GCF of 42005 and 42007?

Answer: GCF of 42005 and 42007 is 1.

2. 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.

3. What are the Factors of 42007?

Answer: Factors of 42007 are 1, 7, 17, 119, 353, 2471, 6001, 42007. There are 8 integers that are factors of 42007. The greatest factor of 42007 is 42007.

4. How to Find the GCF of 42005 and 42007?

Answer:

Greatest Common Factor of 42005 and 42007 = 1

Step 1: Find the prime factorization of 42005

42005 = 5 x 31 x 271

Step 2: Find the prime factorization of 42007

42007 = 7 x 17 x 353

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 42005 and 42007 is 1