What is the Greatest Common Factor of 32152 and 32165?

Greatest common factor (GCF) of 32152 and 32165 is 1.

GCF(32152,32165) = 1

We will now calculate the prime factors of 32152 and 32165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32152 and 32165.

How to find the GCF of 32152 and 32165?

We will first find the prime factorization of 32152 and 32165. After we will calculate the factors of 32152 and 32165 and find the biggest common factor number .

Step-1: Prime Factorization of 32152

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

32152 = 2³ × 4019¹

Step-2: Prime Factorization of 32165

Prime factors of 32165 are 5, 7, 919. Prime factorization of 32165 in exponential form is:

32165 = 5¹ × 7¹ × 919¹

Step-3: Factors of 32152

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

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

Step-4: Factors of 32165

List of positive integer factors of 32165 that divides 32152 without a remainder.

1, 5, 7, 35, 919, 4595, 6433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32152 and 32165. The biggest common factor number is the GCF number.
So the greatest common factor 32152 and 32165 is 1.

Also check out the Least Common Multiple of 32152 and 32165