What is the Greatest Common Factor of 57380 and 57395?

Greatest common factor (GCF) of 57380 and 57395 is 5.

GCF(57380,57395) = 5

We will now calculate the prime factors of 57380 and 57395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57380 and 57395.

How to find the GCF of 57380 and 57395?

We will first find the prime factorization of 57380 and 57395. After we will calculate the factors of 57380 and 57395 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 57395

Prime factors of 57395 are 5, 13, 883. Prime factorization of 57395 in exponential form is:

57395 = 5¹ × 13¹ × 883¹

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 57395

List of positive integer factors of 57395 that divides 57380 without a remainder.

1, 5, 13, 65, 883, 4415, 11479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57380 and 57395. The biggest common factor number is the GCF number.
So the greatest common factor 57380 and 57395 is 5.

Also check out the Least Common Multiple of 57380 and 57395