What is the Greatest Common Factor of 32254 and 32274?

Greatest common factor (GCF) of 32254 and 32274 is 2.

GCF(32254,32274) = 2

We will now calculate the prime factors of 32254 and 32274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32254 and 32274.

How to find the GCF of 32254 and 32274?

We will first find the prime factorization of 32254 and 32274. After we will calculate the factors of 32254 and 32274 and find the biggest common factor number .

Step-1: Prime Factorization of 32254

Prime factors of 32254 are 2, 16127. Prime factorization of 32254 in exponential form is:

32254 = 2¹ × 16127¹

Step-2: 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-3: Factors of 32254

List of positive integer factors of 32254 that divides 32254 without a remainder.

1, 2, 16127

Step-4: Factors of 32274

List of positive integer factors of 32274 that divides 32254 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32254 and 32274. The biggest common factor number is the GCF number.
So the greatest common factor 32254 and 32274 is 2.

Also check out the Least Common Multiple of 32254 and 32274