What is the Greatest Common Factor of 32172 and 32184?

Greatest common factor (GCF) of 32172 and 32184 is 12.

GCF(32172,32184) = 12

We will now calculate the prime factors of 32172 and 32184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32172 and 32184.

How to find the GCF of 32172 and 32184?

We will first find the prime factorization of 32172 and 32184. After we will calculate the factors of 32172 and 32184 and find the biggest common factor number .

Step-1: Prime Factorization of 32172

Prime factors of 32172 are 2, 3, 7, 383. Prime factorization of 32172 in exponential form is:

32172 = 2² × 3¹ × 7¹ × 383¹

Step-2: 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-3: Factors of 32172

List of positive integer factors of 32172 that divides 32172 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 383, 766, 1149, 1532, 2298, 2681, 4596, 5362, 8043, 10724, 16086

Step-4: Factors of 32184

List of positive integer factors of 32184 that divides 32172 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32172 and 32184. The biggest common factor number is the GCF number.
So the greatest common factor 32172 and 32184 is 12.

Also check out the Least Common Multiple of 32172 and 32184