What is the Greatest Common Factor of 2048 and 2059?

Greatest common factor (GCF) of 2048 and 2059 is 1.

GCF(2048,2059) = 1

We will now calculate the prime factors of 2048 and 2059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2048 and 2059.

How to find the GCF of 2048 and 2059?

We will first find the prime factorization of 2048 and 2059. After we will calculate the factors of 2048 and 2059 and find the biggest common factor number .

Step-1: Prime Factorization of 2048

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

2048 = 2¹¹

Step-2: Prime Factorization of 2059

Prime factors of 2059 are 29, 71. Prime factorization of 2059 in exponential form is:

2059 = 29¹ × 71¹

Step-3: Factors of 2048

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

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

Step-4: Factors of 2059

List of positive integer factors of 2059 that divides 2048 without a remainder.

1, 29, 71

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2048 and 2059. The biggest common factor number is the GCF number.
So the greatest common factor 2048 and 2059 is 1.

Also check out the Least Common Multiple of 2048 and 2059