What is the Greatest Common Factor of 80128 and 80132?

Greatest common factor (GCF) of 80128 and 80132 is 4.

GCF(80128,80132) = 4

We will now calculate the prime factors of 80128 and 80132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80128 and 80132.

How to find the GCF of 80128 and 80132?

We will first find the prime factorization of 80128 and 80132. After we will calculate the factors of 80128 and 80132 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 80132

Prime factors of 80132 are 2, 13, 23, 67. Prime factorization of 80132 in exponential form is:

80132 = 2² × 13¹ × 23¹ × 67¹

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 80132

List of positive integer factors of 80132 that divides 80128 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 67, 92, 134, 268, 299, 598, 871, 1196, 1541, 1742, 3082, 3484, 6164, 20033, 40066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80128 and 80132. The biggest common factor number is the GCF number.
So the greatest common factor 80128 and 80132 is 4.

Also check out the Least Common Multiple of 80128 and 80132