Greatest Common Factor of 42067 and 42074

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, 42074 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42067 and 42074 is 1.

GCF(42067,42074) = 1

GCF of 42067 and 42074

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

GCF of:
and

Greatest Common Factor of 42067 and 42074

GCF of 42067 and 42074 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 42074


2 42074
109 21037
193 193
1

Prime factors of 42074 are 2,109,193. Prime factorization of 42074 in exponential form is:

42074 = 21×1091×1931

∴ So by taking common prime factors GCF of 42067 and 42074 is 1

Greatest Common Factor of 42067 and 42074 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 42074

List of positive integer factors of 42074 that divides 42074 without a remainder.

1,2,109,193,218,386,21037,42074

Greatest Common Factor

We found the factors and prime factorization of 42067 and 42074. The biggest common factor number is the GCF number.
So the greatest common factor 42067 and 42074 is 1.

Also check out the Least Common Multiple of 42067 and 42074

Properties of GCF 42067 and 42074

(i) The GCF of 42067 and 42074 is associative

GCF of 42067 and 42074 = GCF of 42074 and 42067

Related Greatest Common Factor of 42067

Related Greatest Common Factor of 42074

Frequently Asked Questions on GCF of 42067 and 42074

1. What is the GCF of 42067 and 42074?

Answer: GCF of 42067 and 42074 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 42074?

Answer: Factors of 42074 are 1, 2, 109, 193, 218, 386, 21037, 42074. There are 8 integers that are factors of 42074. The greatest factor of 42074 is 42074.

4. How to Find the GCF of 42067 and 42074?

Answer:

Greatest Common Factor of 42067 and 42074 = 1

Step 1: Find the prime factorization of 42067

42067 = 23 x 31 x 59

Step 2: Find the prime factorization of 42074

42074 = 2 x 109 x 193

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 42074 is 1