What is the Greatest Common Factor of 80408 and 80416?

Greatest common factor (GCF) of 80408 and 80416 is 8.

GCF(80408,80416) = 8

We will now calculate the prime factors of 80408 and 80416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80408 and 80416.

How to find the GCF of 80408 and 80416?

We will first find the prime factorization of 80408 and 80416. After we will calculate the factors of 80408 and 80416 and find the biggest common factor number .

Step-1: Prime Factorization of 80408

Prime factors of 80408 are 2, 19, 23. Prime factorization of 80408 in exponential form is:

80408 = 2³ × 19¹ × 23²

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 80408

List of positive integer factors of 80408 that divides 80408 without a remainder.

1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 529, 874, 1058, 1748, 2116, 3496, 4232, 10051, 20102, 40204

Step-4: Factors of 80416

List of positive integer factors of 80416 that divides 80408 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 80408 and 80416. The biggest common factor number is the GCF number.
So the greatest common factor 80408 and 80416 is 8.

Also check out the Least Common Multiple of 80408 and 80416