What is the Greatest Common Factor of 57216 and 57236?

Greatest common factor (GCF) of 57216 and 57236 is 4.

GCF(57216,57236) = 4

We will now calculate the prime factors of 57216 and 57236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57216 and 57236.

How to find the GCF of 57216 and 57236?

We will first find the prime factorization of 57216 and 57236. After we will calculate the factors of 57216 and 57236 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 57236

Prime factors of 57236 are 2, 41, 349. Prime factorization of 57236 in exponential form is:

57236 = 2² × 41¹ × 349¹

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 57236

List of positive integer factors of 57236 that divides 57216 without a remainder.

1, 2, 4, 41, 82, 164, 349, 698, 1396, 14309, 28618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57216 and 57236. The biggest common factor number is the GCF number.
So the greatest common factor 57216 and 57236 is 4.

Also check out the Least Common Multiple of 57216 and 57236