What is the Greatest Common Factor of 57361 and 57380?

Greatest common factor (GCF) of 57361 and 57380 is 19.

GCF(57361,57380) = 19

We will now calculate the prime factors of 57361 and 57380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57361 and 57380.

How to find the GCF of 57361 and 57380?

We will first find the prime factorization of 57361 and 57380. After we will calculate the factors of 57361 and 57380 and find the biggest common factor number .

Step-1: Prime Factorization of 57361

Prime factors of 57361 are 19, 3019. Prime factorization of 57361 in exponential form is:

57361 = 19¹ × 3019¹

Step-2: 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-3: Factors of 57361

List of positive integer factors of 57361 that divides 57361 without a remainder.

1, 19, 3019

Step-4: Factors of 57380

List of positive integer factors of 57380 that divides 57361 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57361 and 57380. The biggest common factor number is the GCF number.
So the greatest common factor 57361 and 57380 is 19.

Also check out the Least Common Multiple of 57361 and 57380