What is the Greatest Common Factor of 82212 and 82229?

Greatest common factor (GCF) of 82212 and 82229 is 17.

GCF(82212,82229) = 17

We will now calculate the prime factors of 82212 and 82229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82212 and 82229.

How to find the GCF of 82212 and 82229?

We will first find the prime factorization of 82212 and 82229. After we will calculate the factors of 82212 and 82229 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 82229

Prime factors of 82229 are 7, 17, 691. Prime factorization of 82229 in exponential form is:

82229 = 7¹ × 17¹ × 691¹

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 82229

List of positive integer factors of 82229 that divides 82212 without a remainder.

1, 7, 17, 119, 691, 4837, 11747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82212 and 82229. The biggest common factor number is the GCF number.
So the greatest common factor 82212 and 82229 is 17.

Also check out the Least Common Multiple of 82212 and 82229