What is the Greatest Common Factor of 32335 and 32345?

Greatest common factor (GCF) of 32335 and 32345 is 5.

GCF(32335,32345) = 5

We will now calculate the prime factors of 32335 and 32345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32335 and 32345.

How to find the GCF of 32335 and 32345?

We will first find the prime factorization of 32335 and 32345. After we will calculate the factors of 32335 and 32345 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32345

Prime factors of 32345 are 5, 6469. Prime factorization of 32345 in exponential form is:

32345 = 5¹ × 6469¹

Step-3: Factors of 32335

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

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

Step-4: Factors of 32345

List of positive integer factors of 32345 that divides 32335 without a remainder.

1, 5, 6469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32335 and 32345. The biggest common factor number is the GCF number.
So the greatest common factor 32335 and 32345 is 5.

Also check out the Least Common Multiple of 32335 and 32345