What is the Greatest Common Factor of 32314 and 32330?

Greatest common factor (GCF) of 32314 and 32330 is 2.

GCF(32314,32330) = 2

We will now calculate the prime factors of 32314 and 32330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32314 and 32330.

How to find the GCF of 32314 and 32330?

We will first find the prime factorization of 32314 and 32330. After we will calculate the factors of 32314 and 32330 and find the biggest common factor number .

Step-1: Prime Factorization of 32314

Prime factors of 32314 are 2, 107, 151. Prime factorization of 32314 in exponential form is:

32314 = 2¹ × 107¹ × 151¹

Step-2: 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-3: Factors of 32314

List of positive integer factors of 32314 that divides 32314 without a remainder.

1, 2, 107, 151, 214, 302, 16157

Step-4: Factors of 32330

List of positive integer factors of 32330 that divides 32314 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32314 and 32330. The biggest common factor number is the GCF number.
So the greatest common factor 32314 and 32330 is 2.

Also check out the Least Common Multiple of 32314 and 32330