What is the Greatest Common Factor of 32165 and 32179?

Greatest common factor (GCF) of 32165 and 32179 is 7.

GCF(32165,32179) = 7

We will now calculate the prime factors of 32165 and 32179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32165 and 32179.

How to find the GCF of 32165 and 32179?

We will first find the prime factorization of 32165 and 32179. After we will calculate the factors of 32165 and 32179 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 32179

Prime factors of 32179 are 7, 4597. Prime factorization of 32179 in exponential form is:

32179 = 7¹ × 4597¹

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 32179

List of positive integer factors of 32179 that divides 32165 without a remainder.

1, 7, 4597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32165 and 32179. The biggest common factor number is the GCF number.
So the greatest common factor 32165 and 32179 is 7.

Also check out the Least Common Multiple of 32165 and 32179