What is the Greatest Common Factor of 32274 and 32284?

Greatest common factor (GCF) of 32274 and 32284 is 2.

GCF(32274,32284) = 2

We will now calculate the prime factors of 32274 and 32284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32274 and 32284.

How to find the GCF of 32274 and 32284?

We will first find the prime factorization of 32274 and 32284. After we will calculate the factors of 32274 and 32284 and find the biggest common factor number .

Step-1: Prime Factorization of 32274

Prime factors of 32274 are 2, 3, 11, 163. Prime factorization of 32274 in exponential form is:

32274 = 2¹ × 3² × 11¹ × 163¹

Step-2: Prime Factorization of 32284

Prime factors of 32284 are 2, 7, 1153. Prime factorization of 32284 in exponential form is:

32284 = 2² × 7¹ × 1153¹

Step-3: Factors of 32274

List of positive integer factors of 32274 that divides 32274 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 163, 198, 326, 489, 978, 1467, 1793, 2934, 3586, 5379, 10758, 16137

Step-4: Factors of 32284

List of positive integer factors of 32284 that divides 32274 without a remainder.

1, 2, 4, 7, 14, 28, 1153, 2306, 4612, 8071, 16142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32274 and 32284. The biggest common factor number is the GCF number.
So the greatest common factor 32274 and 32284 is 2.

Also check out the Least Common Multiple of 32274 and 32284