What is the Greatest Common Factor of 32312 and 32330?

Greatest common factor (GCF) of 32312 and 32330 is 2.

GCF(32312,32330) = 2

We will now calculate the prime factors of 32312 and 32330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32312 and 32330.

How to find the GCF of 32312 and 32330?

We will first find the prime factorization of 32312 and 32330. After we will calculate the factors of 32312 and 32330 and find the biggest common factor number .

Step-1: Prime Factorization of 32312

Prime factors of 32312 are 2, 7, 577. Prime factorization of 32312 in exponential form is:

32312 = 2³ × 7¹ × 577¹

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 32312

List of positive integer factors of 32312 that divides 32312 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 577, 1154, 2308, 4039, 4616, 8078, 16156

Step-4: Factors of 32330

List of positive integer factors of 32330 that divides 32312 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 32312 and 32330. The biggest common factor number is the GCF number.
So the greatest common factor 32312 and 32330 is 2.

Also check out the Least Common Multiple of 32312 and 32330