What is the Greatest Common Factor of 80416 and 80425?

Greatest common factor (GCF) of 80416 and 80425 is 1.

GCF(80416,80425) = 1

We will now calculate the prime factors of 80416 and 80425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80416 and 80425.

How to find the GCF of 80416 and 80425?

We will first find the prime factorization of 80416 and 80425. After we will calculate the factors of 80416 and 80425 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80425

Prime factors of 80425 are 5, 3217. Prime factorization of 80425 in exponential form is:

80425 = 5² × 3217¹

Step-3: Factors of 80416

List of positive integer factors of 80416 that divides 80416 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

Step-4: Factors of 80425

List of positive integer factors of 80425 that divides 80416 without a remainder.

1, 5, 25, 3217, 16085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80416 and 80425. The biggest common factor number is the GCF number.
So the greatest common factor 80416 and 80425 is 1.

Also check out the Least Common Multiple of 80416 and 80425