What is the Greatest Common Factor of 57216 and 57230?

Greatest common factor (GCF) of 57216 and 57230 is 2.

GCF(57216,57230) = 2

We will now calculate the prime factors of 57216 and 57230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57216 and 57230.

How to find the GCF of 57216 and 57230?

We will first find the prime factorization of 57216 and 57230. After we will calculate the factors of 57216 and 57230 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 57230

Prime factors of 57230 are 2, 5, 59, 97. Prime factorization of 57230 in exponential form is:

57230 = 2¹ × 5¹ × 59¹ × 97¹

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 57230

List of positive integer factors of 57230 that divides 57216 without a remainder.

1, 2, 5, 10, 59, 97, 118, 194, 295, 485, 590, 970, 5723, 11446, 28615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57216 and 57230. The biggest common factor number is the GCF number.
So the greatest common factor 57216 and 57230 is 2.

Also check out the Least Common Multiple of 57216 and 57230