What is the Greatest Common Factor of 57399 and 57417?

Greatest common factor (GCF) of 57399 and 57417 is 3.

GCF(57399,57417) = 3

We will now calculate the prime factors of 57399 and 57417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57399 and 57417.

How to find the GCF of 57399 and 57417?

We will first find the prime factorization of 57399 and 57417. After we will calculate the factors of 57399 and 57417 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57417

Prime factors of 57417 are 3, 19139. Prime factorization of 57417 in exponential form is:

57417 = 3¹ × 19139¹

Step-3: Factors of 57399

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

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

Step-4: Factors of 57417

List of positive integer factors of 57417 that divides 57399 without a remainder.

1, 3, 19139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57399 and 57417. The biggest common factor number is the GCF number.
So the greatest common factor 57399 and 57417 is 3.

Also check out the Least Common Multiple of 57399 and 57417