What is the Greatest Common Factor of 32182 and 32196?

Greatest common factor (GCF) of 32182 and 32196 is 2.

GCF(32182,32196) = 2

We will now calculate the prime factors of 32182 and 32196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32182 and 32196.

How to find the GCF of 32182 and 32196?

We will first find the prime factorization of 32182 and 32196. After we will calculate the factors of 32182 and 32196 and find the biggest common factor number .

Step-1: Prime Factorization of 32182

Prime factors of 32182 are 2, 16091. Prime factorization of 32182 in exponential form is:

32182 = 2¹ × 16091¹

Step-2: Prime Factorization of 32196

Prime factors of 32196 are 2, 3, 2683. Prime factorization of 32196 in exponential form is:

32196 = 2² × 3¹ × 2683¹

Step-3: Factors of 32182

List of positive integer factors of 32182 that divides 32182 without a remainder.

1, 2, 16091

Step-4: Factors of 32196

List of positive integer factors of 32196 that divides 32182 without a remainder.

1, 2, 3, 4, 6, 12, 2683, 5366, 8049, 10732, 16098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32182 and 32196. The biggest common factor number is the GCF number.
So the greatest common factor 32182 and 32196 is 2.

Also check out the Least Common Multiple of 32182 and 32196