Greatest Common Factor of 40034 and 40042

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 40034, 40042 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40034 and 40042 is 2.

GCF(40034,40042) = 2

GCF of 40034 and 40042

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

GCF of:
and

Greatest Common Factor of 40034 and 40042

GCF of 40034 and 40042 is 2

Prime Factorization of 40034


2 40034
37 20017
541 541
1

Prime factors of 40034 are 2,37,541. Prime factorization of 40034 in exponential form is:

40034 = 21×371×5411

Prime Factorization of 40042


2 40042
20021 20021
1

Prime factors of 40042 are 2,20021. Prime factorization of 40042 in exponential form is:

40042 = 21×200211

∴ So by taking common prime factors GCF of 40034 and 40042 is 2

Greatest Common Factor of 40034 and 40042 by matching factors method

Factors of 40034

List of positive integer factors of 40034 that divides 40034 without a remainder.

1,2,37,74,541,1082,20017,40034

Factors of 40042

List of positive integer factors of 40042 that divides 40042 without a remainder.

1,2,20021,40042

Greatest Common Factor

We found the factors and prime factorization of 40034 and 40042. The biggest common factor number is the GCF number.
So the greatest common factor 40034 and 40042 is 2.

Also check out the Least Common Multiple of 40034 and 40042

Properties of GCF 40034 and 40042

(i) The GCF of 40034 and 40042 is associative

GCF of 40034 and 40042 = GCF of 40042 and 40034

Related Greatest Common Factor of 40034

Related Greatest Common Factor of 40042

Frequently Asked Questions on GCF of 40034 and 40042

1. What is the GCF of 40034 and 40042?

Answer: GCF of 40034 and 40042 is 2.

2. What are the Factors of 40034?

Answer: Factors of 40034 are 1, 2, 37, 74, 541, 1082, 20017, 40034. There are 8 integers that are factors of 40034. The greatest factor of 40034 is 40034.

3. What are the Factors of 40042?

Answer: Factors of 40042 are 1, 2, 20021, 40042. There are 4 integers that are factors of 40042. The greatest factor of 40042 is 40042.

4. How to Find the GCF of 40034 and 40042?

Answer:

Greatest Common Factor of 40034 and 40042 = 2

Step 1: Find the prime factorization of 40034

40034 = 2 x 37 x 541

Step 2: Find the prime factorization of 40042

40042 = 2 x 20021

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 40034 and 40042 is 2