What is the Greatest Common Factor of 2038 and 2048?

Greatest common factor (GCF) of 2038 and 2048 is 2.

GCF(2038,2048) = 2

We will now calculate the prime factors of 2038 and 2048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2038 and 2048.

How to find the GCF of 2038 and 2048?

We will first find the prime factorization of 2038 and 2048. After we will calculate the factors of 2038 and 2048 and find the biggest common factor number .

Step-1: Prime Factorization of 2038

Prime factors of 2038 are 2, 1019. Prime factorization of 2038 in exponential form is:

2038 = 2¹ × 1019¹

Step-2: Prime Factorization of 2048

Prime factors of 2048 are 2. Prime factorization of 2048 in exponential form is:

2048 = 2¹¹

Step-3: Factors of 2038

List of positive integer factors of 2038 that divides 2038 without a remainder.

1, 2, 1019

Step-4: Factors of 2048

List of positive integer factors of 2048 that divides 2038 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2038 and 2048. The biggest common factor number is the GCF number.
So the greatest common factor 2038 and 2048 is 2.

Also check out the Least Common Multiple of 2038 and 2048