What is the Greatest Common Factor of 32165 and 32177?

Greatest common factor (GCF) of 32165 and 32177 is 1.

GCF(32165,32177) = 1

We will now calculate the prime factors of 32165 and 32177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32165 and 32177.

How to find the GCF of 32165 and 32177?

We will first find the prime factorization of 32165 and 32177. After we will calculate the factors of 32165 and 32177 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32177

Prime factors of 32177 are 23, 1399. Prime factorization of 32177 in exponential form is:

32177 = 23¹ × 1399¹

Step-3: Factors of 32165

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

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

Step-4: Factors of 32177

List of positive integer factors of 32177 that divides 32165 without a remainder.

1, 23, 1399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32165 and 32177. The biggest common factor number is the GCF number.
So the greatest common factor 32165 and 32177 is 1.

Also check out the Least Common Multiple of 32165 and 32177