What is the Greatest Common Factor of 2048 and 2068?

Greatest common factor (GCF) of 2048 and 2068 is 4.

GCF(2048,2068) = 4

We will now calculate the prime factors of 2048 and 2068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2048 and 2068.

How to find the GCF of 2048 and 2068?

We will first find the prime factorization of 2048 and 2068. After we will calculate the factors of 2048 and 2068 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 2068

Prime factors of 2068 are 2, 11, 47. Prime factorization of 2068 in exponential form is:

2068 = 2² × 11¹ × 47¹

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 2068

List of positive integer factors of 2068 that divides 2048 without a remainder.

1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2048 and 2068. The biggest common factor number is the GCF number.
So the greatest common factor 2048 and 2068 is 4.

Also check out the Least Common Multiple of 2048 and 2068