Greatest Common Factor of 42038 and 42045

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 42038, 42045 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42038 and 42045 is 1.

GCF(42038,42045) = 1

GCF of 42038 and 42045

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

GCF of:
and

Greatest Common Factor of 42038 and 42045

GCF of 42038 and 42045 is 1

Prime Factorization of 42038


2 42038
21019 21019
1

Prime factors of 42038 are 2,21019. Prime factorization of 42038 in exponential form is:

42038 = 21×210191

Prime Factorization of 42045


3 42045
5 14015
2803 2803
1

Prime factors of 42045 are 3,5,2803. Prime factorization of 42045 in exponential form is:

42045 = 31×51×28031

∴ So by taking common prime factors GCF of 42038 and 42045 is 1

Greatest Common Factor of 42038 and 42045 by matching factors method

Factors of 42038

List of positive integer factors of 42038 that divides 42038 without a remainder.

1,2,21019,42038

Factors of 42045

List of positive integer factors of 42045 that divides 42045 without a remainder.

1,3,5,15,2803,8409,14015,42045

Greatest Common Factor

We found the factors and prime factorization of 42038 and 42045. The biggest common factor number is the GCF number.
So the greatest common factor 42038 and 42045 is 1.

Also check out the Least Common Multiple of 42038 and 42045

Properties of GCF 42038 and 42045

(i) The GCF of 42038 and 42045 is associative

GCF of 42038 and 42045 = GCF of 42045 and 42038

Related Greatest Common Factor of 42038

Related Greatest Common Factor of 42045

Frequently Asked Questions on GCF of 42038 and 42045

1. What is the GCF of 42038 and 42045?

Answer: GCF of 42038 and 42045 is 1.

2. What are the Factors of 42038?

Answer: Factors of 42038 are 1, 2, 21019, 42038. There are 4 integers that are factors of 42038. The greatest factor of 42038 is 42038.

3. What are the Factors of 42045?

Answer: Factors of 42045 are 1, 3, 5, 15, 2803, 8409, 14015, 42045. There are 8 integers that are factors of 42045. The greatest factor of 42045 is 42045.

4. How to Find the GCF of 42038 and 42045?

Answer:

Greatest Common Factor of 42038 and 42045 = 1

Step 1: Find the prime factorization of 42038

42038 = 2 x 21019

Step 2: Find the prime factorization of 42045

42045 = 3 x 5 x 2803

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 42038 and 42045 is 1