What is the Greatest Common Factor of 32144 and 32162?

Greatest common factor (GCF) of 32144 and 32162 is 2.

GCF(32144,32162) = 2

We will now calculate the prime factors of 32144 and 32162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32144 and 32162.

How to find the GCF of 32144 and 32162?

We will first find the prime factorization of 32144 and 32162. After we will calculate the factors of 32144 and 32162 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 32162

Prime factors of 32162 are 2, 13, 1237. Prime factorization of 32162 in exponential form is:

32162 = 2¹ × 13¹ × 1237¹

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 32162

List of positive integer factors of 32162 that divides 32144 without a remainder.

1, 2, 13, 26, 1237, 2474, 16081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32144 and 32162. The biggest common factor number is the GCF number.
So the greatest common factor 32144 and 32162 is 2.

Also check out the Least Common Multiple of 32144 and 32162