What is the Greatest Common Factor of 32304 and 32312?

Greatest common factor (GCF) of 32304 and 32312 is 8.

GCF(32304,32312) = 8

We will now calculate the prime factors of 32304 and 32312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32304 and 32312.

How to find the GCF of 32304 and 32312?

We will first find the prime factorization of 32304 and 32312. After we will calculate the factors of 32304 and 32312 and find the biggest common factor number .

Step-1: Prime Factorization of 32304

Prime factors of 32304 are 2, 3, 673. Prime factorization of 32304 in exponential form is:

32304 = 2⁴ × 3¹ × 673¹

Step-2: 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-3: Factors of 32304

List of positive integer factors of 32304 that divides 32304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 673, 1346, 2019, 2692, 4038, 5384, 8076, 10768, 16152

Step-4: Factors of 32312

List of positive integer factors of 32312 that divides 32304 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32304 and 32312. The biggest common factor number is the GCF number.
So the greatest common factor 32304 and 32312 is 8.

Also check out the Least Common Multiple of 32304 and 32312