What is the Greatest Common Factor of 32163 and 32172?

Greatest common factor (GCF) of 32163 and 32172 is 3.

GCF(32163,32172) = 3

We will now calculate the prime factors of 32163 and 32172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32163 and 32172.

How to find the GCF of 32163 and 32172?

We will first find the prime factorization of 32163 and 32172. After we will calculate the factors of 32163 and 32172 and find the biggest common factor number .

Step-1: Prime Factorization of 32163

Prime factors of 32163 are 3, 71, 151. Prime factorization of 32163 in exponential form is:

32163 = 3¹ × 71¹ × 151¹

Step-2: 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-3: Factors of 32163

List of positive integer factors of 32163 that divides 32163 without a remainder.

1, 3, 71, 151, 213, 453, 10721

Step-4: Factors of 32172

List of positive integer factors of 32172 that divides 32163 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32163 and 32172. The biggest common factor number is the GCF number.
So the greatest common factor 32163 and 32172 is 3.

Also check out the Least Common Multiple of 32163 and 32172