What is the Greatest Common Factor of 57504 and 57519?

Greatest common factor (GCF) of 57504 and 57519 is 3.

GCF(57504,57519) = 3

We will now calculate the prime factors of 57504 and 57519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57504 and 57519.

How to find the GCF of 57504 and 57519?

We will first find the prime factorization of 57504 and 57519. After we will calculate the factors of 57504 and 57519 and find the biggest common factor number .

Step-1: Prime Factorization of 57504

Prime factors of 57504 are 2, 3, 599. Prime factorization of 57504 in exponential form is:

57504 = 2⁵ × 3¹ × 599¹

Step-2: Prime Factorization of 57519

Prime factors of 57519 are 3, 7, 11, 83. Prime factorization of 57519 in exponential form is:

57519 = 3² × 7¹ × 11¹ × 83¹

Step-3: Factors of 57504

List of positive integer factors of 57504 that divides 57504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 599, 1198, 1797, 2396, 3594, 4792, 7188, 9584, 14376, 19168, 28752

Step-4: Factors of 57519

List of positive integer factors of 57519 that divides 57504 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 83, 99, 231, 249, 581, 693, 747, 913, 1743, 2739, 5229, 6391, 8217, 19173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57504 and 57519. The biggest common factor number is the GCF number.
So the greatest common factor 57504 and 57519 is 3.

Also check out the Least Common Multiple of 57504 and 57519