What is the Greatest Common Factor of 57075 and 57081?

Greatest common factor (GCF) of 57075 and 57081 is 3.

GCF(57075,57081) = 3

We will now calculate the prime factors of 57075 and 57081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57075 and 57081.

How to find the GCF of 57075 and 57081?

We will first find the prime factorization of 57075 and 57081. After we will calculate the factors of 57075 and 57081 and find the biggest common factor number .

Step-1: Prime Factorization of 57075

Prime factors of 57075 are 3, 5, 761. Prime factorization of 57075 in exponential form is:

57075 = 3¹ × 5² × 761¹

Step-2: Prime Factorization of 57081

Prime factors of 57081 are 3, 53, 359. Prime factorization of 57081 in exponential form is:

57081 = 3¹ × 53¹ × 359¹

Step-3: Factors of 57075

List of positive integer factors of 57075 that divides 57075 without a remainder.

1, 3, 5, 15, 25, 75, 761, 2283, 3805, 11415, 19025

Step-4: Factors of 57081

List of positive integer factors of 57081 that divides 57075 without a remainder.

1, 3, 53, 159, 359, 1077, 19027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57075 and 57081. The biggest common factor number is the GCF number.
So the greatest common factor 57075 and 57081 is 3.

Also check out the Least Common Multiple of 57075 and 57081