What is the Greatest Common Factor of 80128 and 80144?

Greatest common factor (GCF) of 80128 and 80144 is 16.

GCF(80128,80144) = 16

We will now calculate the prime factors of 80128 and 80144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80128 and 80144.

How to find the GCF of 80128 and 80144?

We will first find the prime factorization of 80128 and 80144. After we will calculate the factors of 80128 and 80144 and find the biggest common factor number .

Step-1: Prime Factorization of 80128

Prime factors of 80128 are 2, 313. Prime factorization of 80128 in exponential form is:

80128 = 2⁸ × 313¹

Step-2: Prime Factorization of 80144

Prime factors of 80144 are 2, 5009. Prime factorization of 80144 in exponential form is:

80144 = 2⁴ × 5009¹

Step-3: Factors of 80128

List of positive integer factors of 80128 that divides 80128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 313, 626, 1252, 2504, 5008, 10016, 20032, 40064

Step-4: Factors of 80144

List of positive integer factors of 80144 that divides 80128 without a remainder.

1, 2, 4, 8, 16, 5009, 10018, 20036, 40072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80128 and 80144. The biggest common factor number is the GCF number.
So the greatest common factor 80128 and 80144 is 16.

Also check out the Least Common Multiple of 80128 and 80144