What is the Greatest Common Factor of 32176 and 32180?

Greatest common factor (GCF) of 32176 and 32180 is 4.

GCF(32176,32180) = 4

We will now calculate the prime factors of 32176 and 32180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32176 and 32180.

How to find the GCF of 32176 and 32180?

We will first find the prime factorization of 32176 and 32180. After we will calculate the factors of 32176 and 32180 and find the biggest common factor number .

Step-1: Prime Factorization of 32176

Prime factors of 32176 are 2, 2011. Prime factorization of 32176 in exponential form is:

32176 = 2⁴ × 2011¹

Step-2: Prime Factorization of 32180

Prime factors of 32180 are 2, 5, 1609. Prime factorization of 32180 in exponential form is:

32180 = 2² × 5¹ × 1609¹

Step-3: Factors of 32176

List of positive integer factors of 32176 that divides 32176 without a remainder.

1, 2, 4, 8, 16, 2011, 4022, 8044, 16088

Step-4: Factors of 32180

List of positive integer factors of 32180 that divides 32176 without a remainder.

1, 2, 4, 5, 10, 20, 1609, 3218, 6436, 8045, 16090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32176 and 32180. The biggest common factor number is the GCF number.
So the greatest common factor 32176 and 32180 is 4.

Also check out the Least Common Multiple of 32176 and 32180