What is the Greatest Common Factor of 57216 and 57222?

Greatest common factor (GCF) of 57216 and 57222 is 6.

GCF(57216,57222) = 6

We will now calculate the prime factors of 57216 and 57222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57216 and 57222.

How to find the GCF of 57216 and 57222?

We will first find the prime factorization of 57216 and 57222. After we will calculate the factors of 57216 and 57222 and find the biggest common factor number .

Step-1: Prime Factorization of 57216

Prime factors of 57216 are 2, 3, 149. Prime factorization of 57216 in exponential form is:

57216 = 2⁷ × 3¹ × 149¹

Step-2: Prime Factorization of 57222

Prime factors of 57222 are 2, 3, 11, 17. Prime factorization of 57222 in exponential form is:

57222 = 2¹ × 3² × 11¹ × 17²

Step-3: Factors of 57216

List of positive integer factors of 57216 that divides 57216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 149, 192, 298, 384, 447, 596, 894, 1192, 1788, 2384, 3576, 4768, 7152, 9536, 14304, 19072, 28608

Step-4: Factors of 57222

List of positive integer factors of 57222 that divides 57216 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 289, 306, 374, 561, 578, 867, 1122, 1683, 1734, 2601, 3179, 3366, 5202, 6358, 9537, 19074, 28611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57216 and 57222. The biggest common factor number is the GCF number.
So the greatest common factor 57216 and 57222 is 6.

Also check out the Least Common Multiple of 57216 and 57222