Greatest Common Factor of 42074 and 42081

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 42074, 42081 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42074 and 42081 is 1.

GCF(42074,42081) = 1

GCF of 42074 and 42081

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

GCF of:
and

Greatest Common Factor of 42074 and 42081

GCF of 42074 and 42081 is 1

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

Prime Factorization of 42081


3 42081
13 14027
13 1079
83 83
1

Prime factors of 42081 are 3,13,83. Prime factorization of 42081 in exponential form is:

42081 = 31×132×831

∴ So by taking common prime factors GCF of 42074 and 42081 is 1

Greatest Common Factor of 42074 and 42081 by matching factors method

Factors of 42074

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

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

Factors of 42081

List of positive integer factors of 42081 that divides 42081 without a remainder.

1,3,13,39,83,169,249,507,1079,3237,14027,42081

Greatest Common Factor

We found the factors and prime factorization of 42074 and 42081. The biggest common factor number is the GCF number.
So the greatest common factor 42074 and 42081 is 1.

Also check out the Least Common Multiple of 42074 and 42081

Properties of GCF 42074 and 42081

(i) The GCF of 42074 and 42081 is associative

GCF of 42074 and 42081 = GCF of 42081 and 42074

Related Greatest Common Factor of 42074

Related Greatest Common Factor of 42081

Frequently Asked Questions on GCF of 42074 and 42081

1. What is the GCF of 42074 and 42081?

Answer: GCF of 42074 and 42081 is 1.

2. 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.

3. What are the Factors of 42081?

Answer: Factors of 42081 are 1, 3, 13, 39, 83, 169, 249, 507, 1079, 3237, 14027, 42081. There are 12 integers that are factors of 42081. The greatest factor of 42081 is 42081.

4. How to Find the GCF of 42074 and 42081?

Answer:

Greatest Common Factor of 42074 and 42081 = 1

Step 1: Find the prime factorization of 42074

42074 = 2 x 109 x 193

Step 2: Find the prime factorization of 42081

42081 = 3 x 13 x 13 x 83

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 42074 and 42081 is 1