What is the Greatest Common Factor of 57390 and 57399?

Greatest common factor (GCF) of 57390 and 57399 is 3.

GCF(57390,57399) = 3

We will now calculate the prime factors of 57390 and 57399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57390 and 57399.

How to find the GCF of 57390 and 57399?

We will first find the prime factorization of 57390 and 57399. After we will calculate the factors of 57390 and 57399 and find the biggest common factor number .

Step-1: Prime Factorization of 57390

Prime factors of 57390 are 2, 3, 5, 1913. Prime factorization of 57390 in exponential form is:

57390 = 2¹ × 3¹ × 5¹ × 1913¹

Step-2: Prime Factorization of 57399

Prime factors of 57399 are 3, 19, 53. Prime factorization of 57399 in exponential form is:

57399 = 3¹ × 19² × 53¹

Step-3: Factors of 57390

List of positive integer factors of 57390 that divides 57390 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1913, 3826, 5739, 9565, 11478, 19130, 28695

Step-4: Factors of 57399

List of positive integer factors of 57399 that divides 57390 without a remainder.

1, 3, 19, 53, 57, 159, 361, 1007, 1083, 3021, 19133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57390 and 57399. The biggest common factor number is the GCF number.
So the greatest common factor 57390 and 57399 is 3.

Also check out the Least Common Multiple of 57390 and 57399