What is the Greatest Common Factor of 32166 and 32177?

Greatest common factor (GCF) of 32166 and 32177 is 1.

GCF(32166,32177) = 1

We will now calculate the prime factors of 32166 and 32177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32166 and 32177.

How to find the GCF of 32166 and 32177?

We will first find the prime factorization of 32166 and 32177. After we will calculate the factors of 32166 and 32177 and find the biggest common factor number .

Step-1: Prime Factorization of 32166

Prime factors of 32166 are 2, 3, 1787. Prime factorization of 32166 in exponential form is:

32166 = 2¹ × 3² × 1787¹

Step-2: Prime Factorization of 32177

Prime factors of 32177 are 23, 1399. Prime factorization of 32177 in exponential form is:

32177 = 23¹ × 1399¹

Step-3: Factors of 32166

List of positive integer factors of 32166 that divides 32166 without a remainder.

1, 2, 3, 6, 9, 18, 1787, 3574, 5361, 10722, 16083

Step-4: Factors of 32177

List of positive integer factors of 32177 that divides 32166 without a remainder.

1, 23, 1399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32166 and 32177. The biggest common factor number is the GCF number.
So the greatest common factor 32166 and 32177 is 1.

Also check out the Least Common Multiple of 32166 and 32177