What is the Greatest Common Factor of 57209 and 57216?

Greatest common factor (GCF) of 57209 and 57216 is 1.

GCF(57209,57216) = 1

We will now calculate the prime factors of 57209 and 57216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57209 and 57216.

How to find the GCF of 57209 and 57216?

We will first find the prime factorization of 57209 and 57216. After we will calculate the factors of 57209 and 57216 and find the biggest common factor number .

Step-1: Prime Factorization of 57209

Prime factors of 57209 are 19, 3011. Prime factorization of 57209 in exponential form is:

57209 = 19¹ × 3011¹

Step-2: 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-3: Factors of 57209

List of positive integer factors of 57209 that divides 57209 without a remainder.

1, 19, 3011

Step-4: Factors of 57216

List of positive integer factors of 57216 that divides 57209 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57209 and 57216. The biggest common factor number is the GCF number.
So the greatest common factor 57209 and 57216 is 1.

Also check out the Least Common Multiple of 57209 and 57216