What is the Greatest Common Factor of 57381 and 57390?

Greatest common factor (GCF) of 57381 and 57390 is 3.

GCF(57381,57390) = 3

We will now calculate the prime factors of 57381 and 57390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57381 and 57390.

How to find the GCF of 57381 and 57390?

We will first find the prime factorization of 57381 and 57390. After we will calculate the factors of 57381 and 57390 and find the biggest common factor number .

Step-1: Prime Factorization of 57381

Prime factors of 57381 are 3, 31, 617. Prime factorization of 57381 in exponential form is:

57381 = 3¹ × 31¹ × 617¹

Step-2: Prime Factorization of 57390

Prime factors of 57390 are 2, 3, 5, 1913. Prime factorization of 57390 in exponential form is:

57390 = 2¹ × 3¹ × 5¹ × 1913¹

Step-3: Factors of 57381

List of positive integer factors of 57381 that divides 57381 without a remainder.

1, 3, 31, 93, 617, 1851, 19127

Step-4: Factors of 57390

List of positive integer factors of 57390 that divides 57381 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1913, 3826, 5739, 9565, 11478, 19130, 28695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57381 and 57390. The biggest common factor number is the GCF number.
So the greatest common factor 57381 and 57390 is 3.

Also check out the Least Common Multiple of 57381 and 57390