What is the Greatest Common Factor of 16384 and 16402?

Greatest common factor (GCF) of 16384 and 16402 is 2.

GCF(16384,16402) = 2

We will now calculate the prime factors of 16384 and 16402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16384 and 16402.

How to find the GCF of 16384 and 16402?

We will first find the prime factorization of 16384 and 16402. After we will calculate the factors of 16384 and 16402 and find the biggest common factor number .

Step-1: Prime Factorization of 16384

Prime factors of 16384 are 2. Prime factorization of 16384 in exponential form is:

16384 = 2¹⁴

Step-2: Prime Factorization of 16402

Prime factors of 16402 are 2, 59, 139. Prime factorization of 16402 in exponential form is:

16402 = 2¹ × 59¹ × 139¹

Step-3: Factors of 16384

List of positive integer factors of 16384 that divides 16384 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192

Step-4: Factors of 16402

List of positive integer factors of 16402 that divides 16384 without a remainder.

1, 2, 59, 118, 139, 278, 8201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16384 and 16402. The biggest common factor number is the GCF number.
So the greatest common factor 16384 and 16402 is 2.

Also check out the Least Common Multiple of 16384 and 16402