What is the Greatest Common Factor of 57385 and 57405?

Greatest common factor (GCF) of 57385 and 57405 is 5.

GCF(57385,57405) = 5

We will now calculate the prime factors of 57385 and 57405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57385 and 57405.

How to find the GCF of 57385 and 57405?

We will first find the prime factorization of 57385 and 57405. After we will calculate the factors of 57385 and 57405 and find the biggest common factor number .

Step-1: Prime Factorization of 57385

Prime factors of 57385 are 5, 23, 499. Prime factorization of 57385 in exponential form is:

57385 = 5¹ × 23¹ × 499¹

Step-2: Prime Factorization of 57405

Prime factors of 57405 are 3, 5, 43, 89. Prime factorization of 57405 in exponential form is:

57405 = 3¹ × 5¹ × 43¹ × 89¹

Step-3: Factors of 57385

List of positive integer factors of 57385 that divides 57385 without a remainder.

1, 5, 23, 115, 499, 2495, 11477

Step-4: Factors of 57405

List of positive integer factors of 57405 that divides 57385 without a remainder.

1, 3, 5, 15, 43, 89, 129, 215, 267, 445, 645, 1335, 3827, 11481, 19135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57385 and 57405. The biggest common factor number is the GCF number.
So the greatest common factor 57385 and 57405 is 5.

Also check out the Least Common Multiple of 57385 and 57405