What is the Greatest Common Factor of 32325 and 32335?

Greatest common factor (GCF) of 32325 and 32335 is 5.

GCF(32325,32335) = 5

We will now calculate the prime factors of 32325 and 32335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32325 and 32335.

How to find the GCF of 32325 and 32335?

We will first find the prime factorization of 32325 and 32335. After we will calculate the factors of 32325 and 32335 and find the biggest common factor number .

Step-1: Prime Factorization of 32325

Prime factors of 32325 are 3, 5, 431. Prime factorization of 32325 in exponential form is:

32325 = 3¹ × 5² × 431¹

Step-2: Prime Factorization of 32335

Prime factors of 32335 are 5, 29, 223. Prime factorization of 32335 in exponential form is:

32335 = 5¹ × 29¹ × 223¹

Step-3: Factors of 32325

List of positive integer factors of 32325 that divides 32325 without a remainder.

1, 3, 5, 15, 25, 75, 431, 1293, 2155, 6465, 10775

Step-4: Factors of 32335

List of positive integer factors of 32335 that divides 32325 without a remainder.

1, 5, 29, 145, 223, 1115, 6467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32325 and 32335. The biggest common factor number is the GCF number.
So the greatest common factor 32325 and 32335 is 5.

Also check out the Least Common Multiple of 32325 and 32335