What is the Greatest Common Factor of 32172 and 32186?

Greatest common factor (GCF) of 32172 and 32186 is 14.

GCF(32172,32186) = 14

We will now calculate the prime factors of 32172 and 32186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32172 and 32186.

How to find the GCF of 32172 and 32186?

We will first find the prime factorization of 32172 and 32186. After we will calculate the factors of 32172 and 32186 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 32186

Prime factors of 32186 are 2, 7, 11, 19. Prime factorization of 32186 in exponential form is:

32186 = 2¹ × 7¹ × 11² × 19¹

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 32186

List of positive integer factors of 32186 that divides 32172 without a remainder.

1, 2, 7, 11, 14, 19, 22, 38, 77, 121, 133, 154, 209, 242, 266, 418, 847, 1463, 1694, 2299, 2926, 4598, 16093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32172 and 32186. The biggest common factor number is the GCF number.
So the greatest common factor 32172 and 32186 is 14.

Also check out the Least Common Multiple of 32172 and 32186