What is the Greatest Common Factor of 32665 and 32675?

Greatest common factor (GCF) of 32665 and 32675 is 5.

GCF(32665,32675) = 5

We will now calculate the prime factors of 32665 and 32675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32665 and 32675.

How to find the GCF of 32665 and 32675?

We will first find the prime factorization of 32665 and 32675. After we will calculate the factors of 32665 and 32675 and find the biggest common factor number .

Step-1: Prime Factorization of 32665

Prime factors of 32665 are 5, 47, 139. Prime factorization of 32665 in exponential form is:

32665 = 5¹ × 47¹ × 139¹

Step-2: Prime Factorization of 32675

Prime factors of 32675 are 5, 1307. Prime factorization of 32675 in exponential form is:

32675 = 5² × 1307¹

Step-3: Factors of 32665

List of positive integer factors of 32665 that divides 32665 without a remainder.

1, 5, 47, 139, 235, 695, 6533

Step-4: Factors of 32675

List of positive integer factors of 32675 that divides 32665 without a remainder.

1, 5, 25, 1307, 6535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32665 and 32675. The biggest common factor number is the GCF number.
So the greatest common factor 32665 and 32675 is 5.

Also check out the Least Common Multiple of 32665 and 32675