What is the Greatest Common Factor of 57159 and 57168?

Greatest common factor (GCF) of 57159 and 57168 is 9.

GCF(57159,57168) = 9

We will now calculate the prime factors of 57159 and 57168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57159 and 57168.

How to find the GCF of 57159 and 57168?

We will first find the prime factorization of 57159 and 57168. After we will calculate the factors of 57159 and 57168 and find the biggest common factor number .

Step-1: Prime Factorization of 57159

Prime factors of 57159 are 3, 29, 73. Prime factorization of 57159 in exponential form is:

57159 = 3³ × 29¹ × 73¹

Step-2: 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-3: Factors of 57159

List of positive integer factors of 57159 that divides 57159 without a remainder.

1, 3, 9, 27, 29, 73, 87, 219, 261, 657, 783, 1971, 2117, 6351, 19053

Step-4: Factors of 57168

List of positive integer factors of 57168 that divides 57159 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57159 and 57168. The biggest common factor number is the GCF number.
So the greatest common factor 57159 and 57168 is 9.

Also check out the Least Common Multiple of 57159 and 57168