Greatest Common Factor of 42007 and 42014

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 42007, 42014 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42007 and 42014 is 7.

GCF(42007,42014) = 7

GCF of 42007 and 42014

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

GCF of:
and

Greatest Common Factor of 42007 and 42014

GCF of 42007 and 42014 is 7

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

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

∴ So by taking common prime factors GCF of 42007 and 42014 is 7

Greatest Common Factor of 42007 and 42014 by matching factors method

Factors of 42007

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

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

Factors of 42014

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

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

Greatest Common Factor

We found the factors and prime factorization of 42007 and 42014. The biggest common factor number is the GCF number.
So the greatest common factor 42007 and 42014 is 7.

Also check out the Least Common Multiple of 42007 and 42014

Properties of GCF 42007 and 42014

(i) The GCF of 42007 and 42014 is associative

GCF of 42007 and 42014 = GCF of 42014 and 42007

Related Greatest Common Factor of 42007

Related Greatest Common Factor of 42014

Frequently Asked Questions on GCF of 42007 and 42014

1. What is the GCF of 42007 and 42014?

Answer: GCF of 42007 and 42014 is 7.

2. 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.

3. 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.

4. How to Find the GCF of 42007 and 42014?

Answer:

Greatest Common Factor of 42007 and 42014 = 7

Step 1: Find the prime factorization of 42007

42007 = 7 x 17 x 353

Step 2: Find the prime factorization of 42014

42014 = 2 x 7 x 3001

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

GCF = 7

Step 4: Therefore, the greatest common factor of 42007 and 42014 is 7