What is the Greatest Common Factor of 32330 and 32350?

Greatest common factor (GCF) of 32330 and 32350 is 10.

GCF(32330,32350) = 10

We will now calculate the prime factors of 32330 and 32350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32330 and 32350.

How to find the GCF of 32330 and 32350?

We will first find the prime factorization of 32330 and 32350. After we will calculate the factors of 32330 and 32350 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 32350

Prime factors of 32350 are 2, 5, 647. Prime factorization of 32350 in exponential form is:

32350 = 2¹ × 5² × 647¹

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 32350

List of positive integer factors of 32350 that divides 32330 without a remainder.

1, 2, 5, 10, 25, 50, 647, 1294, 3235, 6470, 16175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32330 and 32350. The biggest common factor number is the GCF number.
So the greatest common factor 32330 and 32350 is 10.

Also check out the Least Common Multiple of 32330 and 32350