What is the Greatest Common Factor of 57216 and 57234?

Greatest common factor (GCF) of 57216 and 57234 is 6.

GCF(57216,57234) = 6

We will now calculate the prime factors of 57216 and 57234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57216 and 57234.

How to find the GCF of 57216 and 57234?

We will first find the prime factorization of 57216 and 57234. After we will calculate the factors of 57216 and 57234 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 57234

Prime factors of 57234 are 2, 3, 9539. Prime factorization of 57234 in exponential form is:

57234 = 2¹ × 3¹ × 9539¹

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 57234

List of positive integer factors of 57234 that divides 57216 without a remainder.

1, 2, 3, 6, 9539, 19078, 28617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57216 and 57234. The biggest common factor number is the GCF number.
So the greatest common factor 57216 and 57234 is 6.

Also check out the Least Common Multiple of 57216 and 57234