What is the Greatest Common Factor of 80384 and 80398?

Greatest common factor (GCF) of 80384 and 80398 is 2.

GCF(80384,80398) = 2

We will now calculate the prime factors of 80384 and 80398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80384 and 80398.

How to find the GCF of 80384 and 80398?

We will first find the prime factorization of 80384 and 80398. After we will calculate the factors of 80384 and 80398 and find the biggest common factor number .

Step-1: Prime Factorization of 80384

Prime factors of 80384 are 2, 157. Prime factorization of 80384 in exponential form is:

80384 = 2⁹ × 157¹

Step-2: Prime Factorization of 80398

Prime factors of 80398 are 2, 61, 659. Prime factorization of 80398 in exponential form is:

80398 = 2¹ × 61¹ × 659¹

Step-3: Factors of 80384

List of positive integer factors of 80384 that divides 80384 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 157, 256, 314, 512, 628, 1256, 2512, 5024, 10048, 20096, 40192

Step-4: Factors of 80398

List of positive integer factors of 80398 that divides 80384 without a remainder.

1, 2, 61, 122, 659, 1318, 40199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80384 and 80398. The biggest common factor number is the GCF number.
So the greatest common factor 80384 and 80398 is 2.

Also check out the Least Common Multiple of 80384 and 80398