Greatest Common Factor of 4036 and 4044

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 4036, 4044 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4036 and 4044 is 4.

GCF(4036,4044) = 4

GCF of 4036 and 4044

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

GCF of:
and

Greatest Common Factor of 4036 and 4044

GCF of 4036 and 4044 is 4

Prime Factorization of 4036


2 4036
2 2018
1009 1009
1

Prime factors of 4036 are 2,1009. Prime factorization of 4036 in exponential form is:

4036 = 22×10091

Prime Factorization of 4044


2 4044
2 2022
3 1011
337 337
1

Prime factors of 4044 are 2,3,337. Prime factorization of 4044 in exponential form is:

4044 = 22×31×3371

∴ So by taking common prime factors GCF of 4036 and 4044 is 4

Greatest Common Factor of 4036 and 4044 by matching factors method

Factors of 4036

List of positive integer factors of 4036 that divides 4036 without a remainder.

1,2,4,1009,2018,4036

Factors of 4044

List of positive integer factors of 4044 that divides 4044 without a remainder.

1,2,3,4,6,12,337,674,1011,1348,2022,4044

Greatest Common Factor

We found the factors and prime factorization of 4036 and 4044. The biggest common factor number is the GCF number.
So the greatest common factor 4036 and 4044 is 4.

Also check out the Least Common Multiple of 4036 and 4044

Properties of GCF 4036 and 4044

(i) The GCF of 4036 and 4044 is associative

GCF of 4036 and 4044 = GCF of 4044 and 4036

Related Greatest Common Factor of 4036

Related Greatest Common Factor of 4044

Frequently Asked Questions on GCF of 4036 and 4044

1. What is the GCF of 4036 and 4044?

Answer: GCF of 4036 and 4044 is 4.

2. What are the Factors of 4036?

Answer: Factors of 4036 are 1, 2, 4, 1009, 2018, 4036. There are 6 integers that are factors of 4036. The greatest factor of 4036 is 4036.

3. What are the Factors of 4044?

Answer: Factors of 4044 are 1, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022, 4044. There are 12 integers that are factors of 4044. The greatest factor of 4044 is 4044.

4. How to Find the GCF of 4036 and 4044?

Answer:

Greatest Common Factor of 4036 and 4044 = 4

Step 1: Find the prime factorization of 4036

4036 = 2 x 2 x 1009

Step 2: Find the prime factorization of 4044

4044 = 2 x 2 x 3 x 337

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4036 and 4044 is 4