Greatest Common Factor of 42007 and 42011

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, 42011 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42007 and 42011 is 1.

GCF(42007,42011) = 1

GCF of 42007 and 42011

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

GCF of:
and

Greatest Common Factor of 42007 and 42011

GCF of 42007 and 42011 is 1

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 42011


43 42011
977 977
1

Prime factors of 42011 are 43,977. Prime factorization of 42011 in exponential form is:

42011 = 431×9771

∴ So by taking common prime factors GCF of 42007 and 42011 is 1

Greatest Common Factor of 42007 and 42011 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 42011

List of positive integer factors of 42011 that divides 42011 without a remainder.

1,43,977,42011

Greatest Common Factor

We found the factors and prime factorization of 42007 and 42011. The biggest common factor number is the GCF number.
So the greatest common factor 42007 and 42011 is 1.

Also check out the Least Common Multiple of 42007 and 42011

Properties of GCF 42007 and 42011

(i) The GCF of 42007 and 42011 is associative

GCF of 42007 and 42011 = GCF of 42011 and 42007

Related Greatest Common Factor of 42007

Related Greatest Common Factor of 42011

Frequently Asked Questions on GCF of 42007 and 42011

1. What is the GCF of 42007 and 42011?

Answer: GCF of 42007 and 42011 is 1.

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 42011?

Answer: Factors of 42011 are 1, 43, 977, 42011. There are 4 integers that are factors of 42011. The greatest factor of 42011 is 42011.

4. How to Find the GCF of 42007 and 42011?

Answer:

Greatest Common Factor of 42007 and 42011 = 1

Step 1: Find the prime factorization of 42007

42007 = 7 x 17 x 353

Step 2: Find the prime factorization of 42011

42011 = 43 x 977

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 42007 and 42011 is 1