What is the Greatest Common Factor of 57009 and 57027?

Greatest common factor (GCF) of 57009 and 57027 is 3.

GCF(57009,57027) = 3

We will now calculate the prime factors of 57009 and 57027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57009 and 57027.

How to find the GCF of 57009 and 57027?

We will first find the prime factorization of 57009 and 57027. After we will calculate the factors of 57009 and 57027 and find the biggest common factor number .

Step-1: Prime Factorization of 57009

Prime factors of 57009 are 3, 31, 613. Prime factorization of 57009 in exponential form is:

57009 = 3¹ × 31¹ × 613¹

Step-2: Prime Factorization of 57027

Prime factors of 57027 are 3, 19009. Prime factorization of 57027 in exponential form is:

57027 = 3¹ × 19009¹

Step-3: Factors of 57009

List of positive integer factors of 57009 that divides 57009 without a remainder.

1, 3, 31, 93, 613, 1839, 19003

Step-4: Factors of 57027

List of positive integer factors of 57027 that divides 57009 without a remainder.

1, 3, 19009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57009 and 57027. The biggest common factor number is the GCF number.
So the greatest common factor 57009 and 57027 is 3.

Also check out the Least Common Multiple of 57009 and 57027