What is the Greatest Common Factor of 2037 and 2043?

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

GCF(2037,2043) = 3

We will now calculate the prime factors of 2037 and 2043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2037 and 2043.

How to find the GCF of 2037 and 2043?

We will first find the prime factorization of 2037 and 2043. After we will calculate the factors of 2037 and 2043 and find the biggest common factor number .

Step-1: Prime Factorization of 2037

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

2037 = 3¹ × 7¹ × 97¹

Step-2: Prime Factorization of 2043

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

2043 = 3² × 227¹

Step-3: Factors of 2037

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

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

Step-4: Factors of 2043

List of positive integer factors of 2043 that divides 2037 without a remainder.

1, 3, 9, 227, 681

Final Step: Biggest Common Factor Number

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