What is the Greatest Common Factor of 57054 and 57059?

Greatest common factor (GCF) of 57054 and 57059 is 1.

GCF(57054,57059) = 1

We will now calculate the prime factors of 57054 and 57059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57054 and 57059.

How to find the GCF of 57054 and 57059?

We will first find the prime factorization of 57054 and 57059. After we will calculate the factors of 57054 and 57059 and find the biggest common factor number .

Step-1: Prime Factorization of 57054

Prime factors of 57054 are 2, 3, 37, 257. Prime factorization of 57054 in exponential form is:

57054 = 2¹ × 3¹ × 37¹ × 257¹

Step-2: Prime Factorization of 57059

Prime factors of 57059 are 57059. Prime factorization of 57059 in exponential form is:

57059 = 57059¹

Step-3: Factors of 57054

List of positive integer factors of 57054 that divides 57054 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 257, 514, 771, 1542, 9509, 19018, 28527

Step-4: Factors of 57059

List of positive integer factors of 57059 that divides 57054 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57054 and 57059. The biggest common factor number is the GCF number.
So the greatest common factor 57054 and 57059 is 1.

Also check out the Least Common Multiple of 57054 and 57059