What is the Greatest Common Factor of 32160 and 32172?

Greatest common factor (GCF) of 32160 and 32172 is 12.

GCF(32160,32172) = 12

We will now calculate the prime factors of 32160 and 32172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32160 and 32172.

How to find the GCF of 32160 and 32172?

We will first find the prime factorization of 32160 and 32172. After we will calculate the factors of 32160 and 32172 and find the biggest common factor number .

Step-1: Prime Factorization of 32160

Prime factors of 32160 are 2, 3, 5, 67. Prime factorization of 32160 in exponential form is:

32160 = 2⁵ × 3¹ × 5¹ × 67¹

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 32160

List of positive integer factors of 32160 that divides 32160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 67, 80, 96, 120, 134, 160, 201, 240, 268, 335, 402, 480, 536, 670, 804, 1005, 1072, 1340, 1608, 2010, 2144, 2680, 3216, 4020, 5360, 6432, 8040, 10720, 16080

Step-4: Factors of 32172

List of positive integer factors of 32172 that divides 32160 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 32160 and 32172. The biggest common factor number is the GCF number.
So the greatest common factor 32160 and 32172 is 12.

Also check out the Least Common Multiple of 32160 and 32172