What is the Greatest Common Factor of 32128 and 32132?

Greatest common factor (GCF) of 32128 and 32132 is 4.

GCF(32128,32132) = 4

We will now calculate the prime factors of 32128 and 32132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32128 and 32132.

How to find the GCF of 32128 and 32132?

We will first find the prime factorization of 32128 and 32132. After we will calculate the factors of 32128 and 32132 and find the biggest common factor number .

Step-1: Prime Factorization of 32128

Prime factors of 32128 are 2, 251. Prime factorization of 32128 in exponential form is:

32128 = 2⁷ × 251¹

Step-2: Prime Factorization of 32132

Prime factors of 32132 are 2, 29, 277. Prime factorization of 32132 in exponential form is:

32132 = 2² × 29¹ × 277¹

Step-3: Factors of 32128

List of positive integer factors of 32128 that divides 32128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 251, 502, 1004, 2008, 4016, 8032, 16064

Step-4: Factors of 32132

List of positive integer factors of 32132 that divides 32128 without a remainder.

1, 2, 4, 29, 58, 116, 277, 554, 1108, 8033, 16066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32128 and 32132. The biggest common factor number is the GCF number.
So the greatest common factor 32128 and 32132 is 4.

Also check out the Least Common Multiple of 32128 and 32132