Greatest Common Factor of 40022 and 40028

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 40022, 40028 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40022 and 40028 is 2.

GCF(40022,40028) = 2

GCF of 40022 and 40028

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

GCF of:
and

Greatest Common Factor of 40022 and 40028

GCF of 40022 and 40028 is 2

Prime Factorization of 40022


2 40022
20011 20011
1

Prime factors of 40022 are 2,20011. Prime factorization of 40022 in exponential form is:

40022 = 21×200111

Prime Factorization of 40028


2 40028
2 20014
10007 10007
1

Prime factors of 40028 are 2,10007. Prime factorization of 40028 in exponential form is:

40028 = 22×100071

∴ So by taking common prime factors GCF of 40022 and 40028 is 2

Greatest Common Factor of 40022 and 40028 by matching factors method

Factors of 40022

List of positive integer factors of 40022 that divides 40022 without a remainder.

1,2,20011,40022

Factors of 40028

List of positive integer factors of 40028 that divides 40028 without a remainder.

1,2,4,10007,20014,40028

Greatest Common Factor

We found the factors and prime factorization of 40022 and 40028. The biggest common factor number is the GCF number.
So the greatest common factor 40022 and 40028 is 2.

Also check out the Least Common Multiple of 40022 and 40028

Properties of GCF 40022 and 40028

(i) The GCF of 40022 and 40028 is associative

GCF of 40022 and 40028 = GCF of 40028 and 40022

Related Greatest Common Factor of 40022

Related Greatest Common Factor of 40028

Frequently Asked Questions on GCF of 40022 and 40028

1. What is the GCF of 40022 and 40028?

Answer: GCF of 40022 and 40028 is 2.

2. What are the Factors of 40022?

Answer: Factors of 40022 are 1, 2, 20011, 40022. There are 4 integers that are factors of 40022. The greatest factor of 40022 is 40022.

3. What are the Factors of 40028?

Answer: Factors of 40028 are 1, 2, 4, 10007, 20014, 40028. There are 6 integers that are factors of 40028. The greatest factor of 40028 is 40028.

4. How to Find the GCF of 40022 and 40028?

Answer:

Greatest Common Factor of 40022 and 40028 = 2

Step 1: Find the prime factorization of 40022

40022 = 2 x 20011

Step 2: Find the prime factorization of 40028

40028 = 2 x 2 x 10007

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 40022 and 40028 is 2