What is the Greatest Common Factor of 57381 and 57399?

Greatest common factor (GCF) of 57381 and 57399 is 3.

GCF(57381,57399) = 3

We will now calculate the prime factors of 57381 and 57399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57381 and 57399.

How to find the GCF of 57381 and 57399?

We will first find the prime factorization of 57381 and 57399. After we will calculate the factors of 57381 and 57399 and find the biggest common factor number .

Step-1: Prime Factorization of 57381

Prime factors of 57381 are 3, 31, 617. Prime factorization of 57381 in exponential form is:

57381 = 3¹ × 31¹ × 617¹

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 57381

List of positive integer factors of 57381 that divides 57381 without a remainder.

1, 3, 31, 93, 617, 1851, 19127

Step-4: Factors of 57399

List of positive integer factors of 57399 that divides 57381 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 57381 and 57399. The biggest common factor number is the GCF number.
So the greatest common factor 57381 and 57399 is 3.

Also check out the Least Common Multiple of 57381 and 57399