What is the Greatest Common Factor of 2037 and 2046?

Greatest common factor (GCF) of 2037 and 2046 is 3.

GCF(2037,2046) = 3

We will now calculate the prime factors of 2037 and 2046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2037 and 2046.

How to find the GCF of 2037 and 2046?

We will first find the prime factorization of 2037 and 2046. After we will calculate the factors of 2037 and 2046 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 2046

Prime factors of 2046 are 2, 3, 11, 31. Prime factorization of 2046 in exponential form is:

2046 = 2¹ × 3¹ × 11¹ × 31¹

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 2046

List of positive integer factors of 2046 that divides 2037 without a remainder.

1, 2, 3, 6, 11, 22, 31, 33, 62, 66, 93, 186, 341, 682, 1023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2037 and 2046. The biggest common factor number is the GCF number.
So the greatest common factor 2037 and 2046 is 3.

Also check out the Least Common Multiple of 2037 and 2046