What is the Greatest Common Factor of 32144 and 32154?

Greatest common factor (GCF) of 32144 and 32154 is 2.

GCF(32144,32154) = 2

We will now calculate the prime factors of 32144 and 32154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32144 and 32154.

How to find the GCF of 32144 and 32154?

We will first find the prime factorization of 32144 and 32154. After we will calculate the factors of 32144 and 32154 and find the biggest common factor number .

Step-1: Prime Factorization of 32144

Prime factors of 32144 are 2, 7, 41. Prime factorization of 32144 in exponential form is:

32144 = 2⁴ × 7² × 41¹

Step-2: 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-3: Factors of 32144

List of positive integer factors of 32144 that divides 32144 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 41, 49, 56, 82, 98, 112, 164, 196, 287, 328, 392, 574, 656, 784, 1148, 2009, 2296, 4018, 4592, 8036, 16072

Step-4: Factors of 32154

List of positive integer factors of 32154 that divides 32144 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32144 and 32154. The biggest common factor number is the GCF number.
So the greatest common factor 32144 and 32154 is 2.

Also check out the Least Common Multiple of 32144 and 32154