What is the Greatest Common Factor of 32330 and 32341?

Greatest common factor (GCF) of 32330 and 32341 is 1.

GCF(32330,32341) = 1

We will now calculate the prime factors of 32330 and 32341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32330 and 32341.

How to find the GCF of 32330 and 32341?

We will first find the prime factorization of 32330 and 32341. After we will calculate the factors of 32330 and 32341 and find the biggest common factor number .

Step-1: Prime Factorization of 32330

Prime factors of 32330 are 2, 5, 53, 61. Prime factorization of 32330 in exponential form is:

32330 = 2¹ × 5¹ × 53¹ × 61¹

Step-2: Prime Factorization of 32341

Prime factors of 32341 are 32341. Prime factorization of 32341 in exponential form is:

32341 = 32341¹

Step-3: Factors of 32330

List of positive integer factors of 32330 that divides 32330 without a remainder.

1, 2, 5, 10, 53, 61, 106, 122, 265, 305, 530, 610, 3233, 6466, 16165

Step-4: Factors of 32341

List of positive integer factors of 32341 that divides 32330 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32330 and 32341. The biggest common factor number is the GCF number.
So the greatest common factor 32330 and 32341 is 1.

Also check out the Least Common Multiple of 32330 and 32341