What is the Greatest Common Factor of 57319 and 57339?

Greatest common factor (GCF) of 57319 and 57339 is 1.

GCF(57319,57339) = 1

We will now calculate the prime factors of 57319 and 57339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57319 and 57339.

How to find the GCF of 57319 and 57339?

We will first find the prime factorization of 57319 and 57339. After we will calculate the factors of 57319 and 57339 and find the biggest common factor number .

Step-1: Prime Factorization of 57319

Prime factors of 57319 are 31, 43. Prime factorization of 57319 in exponential form is:

57319 = 31¹ × 43²

Step-2: Prime Factorization of 57339

Prime factors of 57339 are 3, 23, 277. Prime factorization of 57339 in exponential form is:

57339 = 3² × 23¹ × 277¹

Step-3: Factors of 57319

List of positive integer factors of 57319 that divides 57319 without a remainder.

1, 31, 43, 1333, 1849

Step-4: Factors of 57339

List of positive integer factors of 57339 that divides 57319 without a remainder.

1, 3, 9, 23, 69, 207, 277, 831, 2493, 6371, 19113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57319 and 57339. The biggest common factor number is the GCF number.
So the greatest common factor 57319 and 57339 is 1.

Also check out the Least Common Multiple of 57319 and 57339