What is the Greatest Common Factor of 57285 and 57304?

Greatest common factor (GCF) of 57285 and 57304 is 19.

GCF(57285,57304) = 19

We will now calculate the prime factors of 57285 and 57304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57285 and 57304.

How to find the GCF of 57285 and 57304?

We will first find the prime factorization of 57285 and 57304. After we will calculate the factors of 57285 and 57304 and find the biggest common factor number .

Step-1: Prime Factorization of 57285

Prime factors of 57285 are 3, 5, 19, 67. Prime factorization of 57285 in exponential form is:

57285 = 3² × 5¹ × 19¹ × 67¹

Step-2: Prime Factorization of 57304

Prime factors of 57304 are 2, 13, 19, 29. Prime factorization of 57304 in exponential form is:

57304 = 2³ × 13¹ × 19¹ × 29¹

Step-3: Factors of 57285

List of positive integer factors of 57285 that divides 57285 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 67, 95, 171, 201, 285, 335, 603, 855, 1005, 1273, 3015, 3819, 6365, 11457, 19095

Step-4: Factors of 57304

List of positive integer factors of 57304 that divides 57285 without a remainder.

1, 2, 4, 8, 13, 19, 26, 29, 38, 52, 58, 76, 104, 116, 152, 232, 247, 377, 494, 551, 754, 988, 1102, 1508, 1976, 2204, 3016, 4408, 7163, 14326, 28652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57285 and 57304. The biggest common factor number is the GCF number.
So the greatest common factor 57285 and 57304 is 19.

Also check out the Least Common Multiple of 57285 and 57304