What is the Greatest Common Factor of 32274 and 32292?

Greatest common factor (GCF) of 32274 and 32292 is 18.

GCF(32274,32292) = 18

We will now calculate the prime factors of 32274 and 32292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32274 and 32292.

How to find the GCF of 32274 and 32292?

We will first find the prime factorization of 32274 and 32292. After we will calculate the factors of 32274 and 32292 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 32292

Prime factors of 32292 are 2, 3, 13, 23. Prime factorization of 32292 in exponential form is:

32292 = 2² × 3³ × 13¹ × 23¹

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 32292

List of positive integer factors of 32292 that divides 32274 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 23, 26, 27, 36, 39, 46, 52, 54, 69, 78, 92, 108, 117, 138, 156, 207, 234, 276, 299, 351, 414, 468, 598, 621, 702, 828, 897, 1196, 1242, 1404, 1794, 2484, 2691, 3588, 5382, 8073, 10764, 16146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32274 and 32292. The biggest common factor number is the GCF number.
So the greatest common factor 32274 and 32292 is 18.

Also check out the Least Common Multiple of 32274 and 32292