What is the Greatest Common Factor of 80112 and 80128?

Greatest common factor (GCF) of 80112 and 80128 is 16.

GCF(80112,80128) = 16

We will now calculate the prime factors of 80112 and 80128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80112 and 80128.

How to find the GCF of 80112 and 80128?

We will first find the prime factorization of 80112 and 80128. After we will calculate the factors of 80112 and 80128 and find the biggest common factor number .

Step-1: Prime Factorization of 80112

Prime factors of 80112 are 2, 3, 1669. Prime factorization of 80112 in exponential form is:

80112 = 2⁴ × 3¹ × 1669¹

Step-2: Prime Factorization of 80128

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

80128 = 2⁸ × 313¹

Step-3: Factors of 80112

List of positive integer factors of 80112 that divides 80112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1669, 3338, 5007, 6676, 10014, 13352, 20028, 26704, 40056

Step-4: Factors of 80128

List of positive integer factors of 80128 that divides 80112 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80112 and 80128. The biggest common factor number is the GCF number.
So the greatest common factor 80112 and 80128 is 16.

Also check out the Least Common Multiple of 80112 and 80128