What is the Greatest Common Factor of 32128 and 32138?

Greatest common factor (GCF) of 32128 and 32138 is 2.

GCF(32128,32138) = 2

We will now calculate the prime factors of 32128 and 32138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32128 and 32138.

How to find the GCF of 32128 and 32138?

We will first find the prime factorization of 32128 and 32138. After we will calculate the factors of 32128 and 32138 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 32138

Prime factors of 32138 are 2, 16069. Prime factorization of 32138 in exponential form is:

32138 = 2¹ × 16069¹

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 32138

List of positive integer factors of 32138 that divides 32128 without a remainder.

1, 2, 16069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32128 and 32138. The biggest common factor number is the GCF number.
So the greatest common factor 32128 and 32138 is 2.

Also check out the Least Common Multiple of 32128 and 32138