What is the Greatest Common Factor of 82212 and 82232?

Greatest common factor (GCF) of 82212 and 82232 is 4.

GCF(82212,82232) = 4

We will now calculate the prime factors of 82212 and 82232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82212 and 82232.

How to find the GCF of 82212 and 82232?

We will first find the prime factorization of 82212 and 82232. After we will calculate the factors of 82212 and 82232 and find the biggest common factor number .

Step-1: Prime Factorization of 82212

Prime factors of 82212 are 2, 3, 13, 17, 31. Prime factorization of 82212 in exponential form is:

82212 = 2² × 3¹ × 13¹ × 17¹ × 31¹

Step-2: Prime Factorization of 82232

Prime factors of 82232 are 2, 19, 541. Prime factorization of 82232 in exponential form is:

82232 = 2³ × 19¹ × 541¹

Step-3: Factors of 82212

List of positive integer factors of 82212 that divides 82212 without a remainder.

1, 2, 3, 4, 6, 12, 13, 17, 26, 31, 34, 39, 51, 52, 62, 68, 78, 93, 102, 124, 156, 186, 204, 221, 372, 403, 442, 527, 663, 806, 884, 1054, 1209, 1326, 1581, 1612, 2108, 2418, 2652, 3162, 4836, 6324, 6851, 13702, 20553, 27404, 41106

Step-4: Factors of 82232

List of positive integer factors of 82232 that divides 82212 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 541, 1082, 2164, 4328, 10279, 20558, 41116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82212 and 82232. The biggest common factor number is the GCF number.
So the greatest common factor 82212 and 82232 is 4.

Also check out the Least Common Multiple of 82212 and 82232