What is the Greatest Common Factor of 32154 and 32160?

Greatest common factor (GCF) of 32154 and 32160 is 6.

GCF(32154,32160) = 6

We will now calculate the prime factors of 32154 and 32160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32154 and 32160.

How to find the GCF of 32154 and 32160?

We will first find the prime factorization of 32154 and 32160. After we will calculate the factors of 32154 and 32160 and find the biggest common factor number .

Step-1: Prime Factorization of 32154

Prime factors of 32154 are 2, 3, 23, 233. Prime factorization of 32154 in exponential form is:

32154 = 2¹ × 3¹ × 23¹ × 233¹

Step-2: 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-3: Factors of 32154

List of positive integer factors of 32154 that divides 32154 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 233, 466, 699, 1398, 5359, 10718, 16077

Step-4: Factors of 32160

List of positive integer factors of 32160 that divides 32154 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32154 and 32160. The biggest common factor number is the GCF number.
So the greatest common factor 32154 and 32160 is 6.

Also check out the Least Common Multiple of 32154 and 32160