What is the Greatest Common Factor of 57387 and 57400?

Greatest common factor (GCF) of 57387 and 57400 is 1.

GCF(57387,57400) = 1

We will now calculate the prime factors of 57387 and 57400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57387 and 57400.

How to find the GCF of 57387 and 57400?

We will first find the prime factorization of 57387 and 57400. After we will calculate the factors of 57387 and 57400 and find the biggest common factor number .

Step-1: Prime Factorization of 57387

Prime factors of 57387 are 3, 11, 37, 47. Prime factorization of 57387 in exponential form is:

57387 = 3¹ × 11¹ × 37¹ × 47¹

Step-2: Prime Factorization of 57400

Prime factors of 57400 are 2, 5, 7, 41. Prime factorization of 57400 in exponential form is:

57400 = 2³ × 5² × 7¹ × 41¹

Step-3: Factors of 57387

List of positive integer factors of 57387 that divides 57387 without a remainder.

1, 3, 11, 33, 37, 47, 111, 141, 407, 517, 1221, 1551, 1739, 5217, 19129

Step-4: Factors of 57400

List of positive integer factors of 57400 that divides 57387 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 41, 50, 56, 70, 82, 100, 140, 164, 175, 200, 205, 280, 287, 328, 350, 410, 574, 700, 820, 1025, 1148, 1400, 1435, 1640, 2050, 2296, 2870, 4100, 5740, 7175, 8200, 11480, 14350, 28700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57387 and 57400. The biggest common factor number is the GCF number.
So the greatest common factor 57387 and 57400 is 1.

Also check out the Least Common Multiple of 57387 and 57400