What is the Greatest Common Factor of 32146 and 32152?

Greatest common factor (GCF) of 32146 and 32152 is 2.

GCF(32146,32152) = 2

We will now calculate the prime factors of 32146 and 32152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32146 and 32152.

How to find the GCF of 32146 and 32152?

We will first find the prime factorization of 32146 and 32152. After we will calculate the factors of 32146 and 32152 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 32152

Prime factors of 32152 are 2, 4019. Prime factorization of 32152 in exponential form is:

32152 = 2³ × 4019¹

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 32152

List of positive integer factors of 32152 that divides 32146 without a remainder.

1, 2, 4, 8, 4019, 8038, 16076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32146 and 32152. The biggest common factor number is the GCF number.
So the greatest common factor 32146 and 32152 is 2.

Also check out the Least Common Multiple of 32146 and 32152