What is the Greatest Common Factor of 32294 and 32304?

Greatest common factor (GCF) of 32294 and 32304 is 2.

GCF(32294,32304) = 2

We will now calculate the prime factors of 32294 and 32304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32294 and 32304.

How to find the GCF of 32294 and 32304?

We will first find the prime factorization of 32294 and 32304. After we will calculate the factors of 32294 and 32304 and find the biggest common factor number .

Step-1: Prime Factorization of 32294

Prime factors of 32294 are 2, 67, 241. Prime factorization of 32294 in exponential form is:

32294 = 2¹ × 67¹ × 241¹

Step-2: 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-3: Factors of 32294

List of positive integer factors of 32294 that divides 32294 without a remainder.

1, 2, 67, 134, 241, 482, 16147

Step-4: Factors of 32304

List of positive integer factors of 32304 that divides 32294 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32294 and 32304. The biggest common factor number is the GCF number.
So the greatest common factor 32294 and 32304 is 2.

Also check out the Least Common Multiple of 32294 and 32304