Greatest Common Factor of 42067 and 42071

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 42067, 42071 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42067 and 42071 is 1.

GCF(42067,42071) = 1

GCF of 42067 and 42071

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

GCF of:
and

Greatest Common Factor of 42067 and 42071

GCF of 42067 and 42071 is 1

Prime Factorization of 42067


23 42067
31 1829
59 59
1

Prime factors of 42067 are 23,31,59. Prime factorization of 42067 in exponential form is:

42067 = 231×311×591

Prime Factorization of 42071


42071 42071
1

Prime factors of 42071 are 42071. Prime factorization of 42071 in exponential form is:

42071 = 420711

∴ So by taking common prime factors GCF of 42067 and 42071 is 1

Greatest Common Factor of 42067 and 42071 by matching factors method

Factors of 42067

List of positive integer factors of 42067 that divides 42067 without a remainder.

1,23,31,59,713,1357,1829,42067

Factors of 42071

List of positive integer factors of 42071 that divides 42071 without a remainder.

1,42071

Greatest Common Factor

We found the factors and prime factorization of 42067 and 42071. The biggest common factor number is the GCF number.
So the greatest common factor 42067 and 42071 is 1.

Also check out the Least Common Multiple of 42067 and 42071

Properties of GCF 42067 and 42071

(i) The GCF of 42067 and 42071 is associative

GCF of 42067 and 42071 = GCF of 42071 and 42067

Related Greatest Common Factor of 42067

Related Greatest Common Factor of 42071

Frequently Asked Questions on GCF of 42067 and 42071

1. What is the GCF of 42067 and 42071?

Answer: GCF of 42067 and 42071 is 1.

2. What are the Factors of 42067?

Answer: Factors of 42067 are 1, 23, 31, 59, 713, 1357, 1829, 42067. There are 8 integers that are factors of 42067. The greatest factor of 42067 is 42067.

3. What are the Factors of 42071?

Answer: Factors of 42071 are 1, 42071. There are 2 integers that are factors of 42071. The greatest factor of 42071 is 42071.

4. How to Find the GCF of 42067 and 42071?

Answer:

Greatest Common Factor of 42067 and 42071 = 1

Step 1: Find the prime factorization of 42067

42067 = 23 x 31 x 59

Step 2: Find the prime factorization of 42071

42071 = 42071

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 42067 and 42071 is 1