What is the Greatest Common Factor of 32146 and 32164?

Greatest common factor (GCF) of 32146 and 32164 is 2.

GCF(32146,32164) = 2

We will now calculate the prime factors of 32146 and 32164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32146 and 32164.

How to find the GCF of 32146 and 32164?

We will first find the prime factorization of 32146 and 32164. After we will calculate the factors of 32146 and 32164 and find the biggest common factor number .

Step-1: Prime Factorization of 32146

Prime factors of 32146 are 2, 16073. Prime factorization of 32146 in exponential form is:

32146 = 2¹ × 16073¹

Step-2: Prime Factorization of 32164

Prime factors of 32164 are 2, 11, 17, 43. Prime factorization of 32164 in exponential form is:

32164 = 2² × 11¹ × 17¹ × 43¹

Step-3: Factors of 32146

List of positive integer factors of 32146 that divides 32146 without a remainder.

1, 2, 16073

Step-4: Factors of 32164

List of positive integer factors of 32164 that divides 32146 without a remainder.

1, 2, 4, 11, 17, 22, 34, 43, 44, 68, 86, 172, 187, 374, 473, 731, 748, 946, 1462, 1892, 2924, 8041, 16082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32146 and 32164. The biggest common factor number is the GCF number.
So the greatest common factor 32146 and 32164 is 2.

Also check out the Least Common Multiple of 32146 and 32164