Greatest Common Factor of 42059 and 42067

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 42059, 42067 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42059 and 42067 is 1.

GCF(42059,42067) = 1

GCF of 42059 and 42067

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

GCF of:
and

Greatest Common Factor of 42059 and 42067

GCF of 42059 and 42067 is 1

Prime Factorization of 42059


137 42059
307 307
1

Prime factors of 42059 are 137,307. Prime factorization of 42059 in exponential form is:

42059 = 1371×3071

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

∴ So by taking common prime factors GCF of 42059 and 42067 is 1

Greatest Common Factor of 42059 and 42067 by matching factors method

Factors of 42059

List of positive integer factors of 42059 that divides 42059 without a remainder.

1,137,307,42059

Factors of 42067

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

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

Greatest Common Factor

We found the factors and prime factorization of 42059 and 42067. The biggest common factor number is the GCF number.
So the greatest common factor 42059 and 42067 is 1.

Also check out the Least Common Multiple of 42059 and 42067

Properties of GCF 42059 and 42067

(i) The GCF of 42059 and 42067 is associative

GCF of 42059 and 42067 = GCF of 42067 and 42059

Related Greatest Common Factor of 42059

Related Greatest Common Factor of 42067

Frequently Asked Questions on GCF of 42059 and 42067

1. What is the GCF of 42059 and 42067?

Answer: GCF of 42059 and 42067 is 1.

2. What are the Factors of 42059?

Answer: Factors of 42059 are 1, 137, 307, 42059. There are 4 integers that are factors of 42059. The greatest factor of 42059 is 42059.

3. 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.

4. How to Find the GCF of 42059 and 42067?

Answer:

Greatest Common Factor of 42059 and 42067 = 1

Step 1: Find the prime factorization of 42059

42059 = 137 x 307

Step 2: Find the prime factorization of 42067

42067 = 23 x 31 x 59

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 42059 and 42067 is 1