What is the Greatest Common Factor of 57145 and 57165?

Greatest common factor (GCF) of 57145 and 57165 is 5.

GCF(57145,57165) = 5

We will now calculate the prime factors of 57145 and 57165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57145 and 57165.

How to find the GCF of 57145 and 57165?

We will first find the prime factorization of 57145 and 57165. After we will calculate the factors of 57145 and 57165 and find the biggest common factor number .

Step-1: Prime Factorization of 57145

Prime factors of 57145 are 5, 11, 1039. Prime factorization of 57145 in exponential form is:

57145 = 5¹ × 11¹ × 1039¹

Step-2: Prime Factorization of 57165

Prime factors of 57165 are 3, 5, 37, 103. Prime factorization of 57165 in exponential form is:

57165 = 3¹ × 5¹ × 37¹ × 103¹

Step-3: Factors of 57145

List of positive integer factors of 57145 that divides 57145 without a remainder.

1, 5, 11, 55, 1039, 5195, 11429

Step-4: Factors of 57165

List of positive integer factors of 57165 that divides 57145 without a remainder.

1, 3, 5, 15, 37, 103, 111, 185, 309, 515, 555, 1545, 3811, 11433, 19055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57145 and 57165. The biggest common factor number is the GCF number.
So the greatest common factor 57145 and 57165 is 5.

Also check out the Least Common Multiple of 57145 and 57165