What is the Greatest Common Factor of 57380 and 57385?

Greatest common factor (GCF) of 57380 and 57385 is 5.

GCF(57380,57385) = 5

We will now calculate the prime factors of 57380 and 57385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57380 and 57385.

How to find the GCF of 57380 and 57385?

We will first find the prime factorization of 57380 and 57385. After we will calculate the factors of 57380 and 57385 and find the biggest common factor number .

Step-1: Prime Factorization of 57380

Prime factors of 57380 are 2, 5, 19, 151. Prime factorization of 57380 in exponential form is:

57380 = 2² × 5¹ × 19¹ × 151¹

Step-2: 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-3: Factors of 57380

List of positive integer factors of 57380 that divides 57380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 151, 190, 302, 380, 604, 755, 1510, 2869, 3020, 5738, 11476, 14345, 28690

Step-4: Factors of 57385

List of positive integer factors of 57385 that divides 57380 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57380 and 57385. The biggest common factor number is the GCF number.
So the greatest common factor 57380 and 57385 is 5.

Also check out the Least Common Multiple of 57380 and 57385