Greatest Common Factor of 2037 and 2043

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 2037, 2043 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2037 and 2043 is 3.

GCF(2037,2043) = 3

GCF of 2037 and 2043

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

GCF of:
and

Greatest Common Factor of 2037 and 2043

GCF of 2037 and 2043 is 3

Prime Factorization of 2037


3 2037
7 679
97 97
1

Prime factors of 2037 are 3,7,97. Prime factorization of 2037 in exponential form is:

2037 = 31×71×971

Prime Factorization of 2043


3 2043
3 681
227 227
1

Prime factors of 2043 are 3,227. Prime factorization of 2043 in exponential form is:

2043 = 32×2271

∴ So by taking common prime factors GCF of 2037 and 2043 is 3

Greatest Common Factor of 2037 and 2043 by matching factors method

Factors of 2037

List of positive integer factors of 2037 that divides 2037 without a remainder.

1,3,7,21,97,291,679,2037

Factors of 2043

List of positive integer factors of 2043 that divides 2043 without a remainder.

1,3,9,227,681,2043

Greatest Common Factor

We found the factors and prime factorization of 2037 and 2043. The biggest common factor number is the GCF number.
So the greatest common factor 2037 and 2043 is 3.

Also check out the Least Common Multiple of 2037 and 2043

Properties of GCF 2037 and 2043

(i) The GCF of 2037 and 2043 is associative

GCF of 2037 and 2043 = GCF of 2043 and 2037

Related Greatest Common Factor of 2037

Related Greatest Common Factor of 2043

Frequently Asked Questions on GCF of 2037 and 2043

1. What is the GCF of 2037 and 2043?

Answer: GCF of 2037 and 2043 is 3.

2. What are the Factors of 2037?

Answer: Factors of 2037 are 1, 3, 7, 21, 97, 291, 679, 2037. There are 8 integers that are factors of 2037. The greatest factor of 2037 is 2037.

3. What are the Factors of 2043?

Answer: Factors of 2043 are 1, 3, 9, 227, 681, 2043. There are 6 integers that are factors of 2043. The greatest factor of 2043 is 2043.

4. How to Find the GCF of 2037 and 2043?

Answer:

Greatest Common Factor of 2037 and 2043 = 3

Step 1: Find the prime factorization of 2037

2037 = 3 x 7 x 97

Step 2: Find the prime factorization of 2043

2043 = 3 x 3 x 227

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2037 and 2043 is 3