What is the Greatest Common Factor of 57168 and 57185?

Greatest common factor (GCF) of 57168 and 57185 is 1.

GCF(57168,57185) = 1

We will now calculate the prime factors of 57168 and 57185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57168 and 57185.

How to find the GCF of 57168 and 57185?

We will first find the prime factorization of 57168 and 57185. After we will calculate the factors of 57168 and 57185 and find the biggest common factor number .

Step-1: Prime Factorization of 57168

Prime factors of 57168 are 2, 3, 397. Prime factorization of 57168 in exponential form is:

57168 = 2⁴ × 3² × 397¹

Step-2: Prime Factorization of 57185

Prime factors of 57185 are 5, 11437. Prime factorization of 57185 in exponential form is:

57185 = 5¹ × 11437¹

Step-3: Factors of 57168

List of positive integer factors of 57168 that divides 57168 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 397, 794, 1191, 1588, 2382, 3176, 3573, 4764, 6352, 7146, 9528, 14292, 19056, 28584

Step-4: Factors of 57185

List of positive integer factors of 57185 that divides 57168 without a remainder.

1, 5, 11437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57168 and 57185. The biggest common factor number is the GCF number.
So the greatest common factor 57168 and 57185 is 1.

Also check out the Least Common Multiple of 57168 and 57185