What is the Greatest Common Factor of 57059 and 57069?

Greatest common factor (GCF) of 57059 and 57069 is 1.

GCF(57059,57069) = 1

We will now calculate the prime factors of 57059 and 57069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57059 and 57069.

How to find the GCF of 57059 and 57069?

We will first find the prime factorization of 57059 and 57069. After we will calculate the factors of 57059 and 57069 and find the biggest common factor number .

Step-1: Prime Factorization of 57059

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

57059 = 57059¹

Step-2: Prime Factorization of 57069

Prime factors of 57069 are 3, 17, 373. Prime factorization of 57069 in exponential form is:

57069 = 3² × 17¹ × 373¹

Step-3: Factors of 57059

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

Step-4: Factors of 57069

List of positive integer factors of 57069 that divides 57059 without a remainder.

1, 3, 9, 17, 51, 153, 373, 1119, 3357, 6341, 19023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57059 and 57069. The biggest common factor number is the GCF number.
So the greatest common factor 57059 and 57069 is 1.

Also check out the Least Common Multiple of 57059 and 57069