What is the Greatest Common Factor of 32184 and 32198?

Greatest common factor (GCF) of 32184 and 32198 is 2.

GCF(32184,32198) = 2

We will now calculate the prime factors of 32184 and 32198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32184 and 32198.

How to find the GCF of 32184 and 32198?

We will first find the prime factorization of 32184 and 32198. After we will calculate the factors of 32184 and 32198 and find the biggest common factor number .

Step-1: Prime Factorization of 32184

Prime factors of 32184 are 2, 3, 149. Prime factorization of 32184 in exponential form is:

32184 = 2³ × 3³ × 149¹

Step-2: Prime Factorization of 32198

Prime factors of 32198 are 2, 17, 947. Prime factorization of 32198 in exponential form is:

32198 = 2¹ × 17¹ × 947¹

Step-3: Factors of 32184

List of positive integer factors of 32184 that divides 32184 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 149, 216, 298, 447, 596, 894, 1192, 1341, 1788, 2682, 3576, 4023, 5364, 8046, 10728, 16092

Step-4: Factors of 32198

List of positive integer factors of 32198 that divides 32184 without a remainder.

1, 2, 17, 34, 947, 1894, 16099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32184 and 32198. The biggest common factor number is the GCF number.
So the greatest common factor 32184 and 32198 is 2.

Also check out the Least Common Multiple of 32184 and 32198