What is the Greatest Common Factor of 80398 and 80416?

Greatest common factor (GCF) of 80398 and 80416 is 2.

GCF(80398,80416) = 2

We will now calculate the prime factors of 80398 and 80416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80398 and 80416.

How to find the GCF of 80398 and 80416?

We will first find the prime factorization of 80398 and 80416. After we will calculate the factors of 80398 and 80416 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80416

Prime factors of 80416 are 2, 7, 359. Prime factorization of 80416 in exponential form is:

80416 = 2⁵ × 7¹ × 359¹

Step-3: Factors of 80398

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

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

Step-4: Factors of 80416

List of positive integer factors of 80416 that divides 80398 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 359, 718, 1436, 2513, 2872, 5026, 5744, 10052, 11488, 20104, 40208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80398 and 80416. The biggest common factor number is the GCF number.
So the greatest common factor 80398 and 80416 is 2.

Also check out the Least Common Multiple of 80398 and 80416