What is the Greatest Common Factor of 57340 and 57355?

Greatest common factor (GCF) of 57340 and 57355 is 5.

GCF(57340,57355) = 5

We will now calculate the prime factors of 57340 and 57355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57340 and 57355.

How to find the GCF of 57340 and 57355?

We will first find the prime factorization of 57340 and 57355. After we will calculate the factors of 57340 and 57355 and find the biggest common factor number .

Step-1: Prime Factorization of 57340

Prime factors of 57340 are 2, 5, 47, 61. Prime factorization of 57340 in exponential form is:

57340 = 2² × 5¹ × 47¹ × 61¹

Step-2: Prime Factorization of 57355

Prime factors of 57355 are 5, 11471. Prime factorization of 57355 in exponential form is:

57355 = 5¹ × 11471¹

Step-3: Factors of 57340

List of positive integer factors of 57340 that divides 57340 without a remainder.

1, 2, 4, 5, 10, 20, 47, 61, 94, 122, 188, 235, 244, 305, 470, 610, 940, 1220, 2867, 5734, 11468, 14335, 28670

Step-4: Factors of 57355

List of positive integer factors of 57355 that divides 57340 without a remainder.

1, 5, 11471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57340 and 57355. The biggest common factor number is the GCF number.
So the greatest common factor 57340 and 57355 is 5.

Also check out the Least Common Multiple of 57340 and 57355