What is the Greatest Common Factor of 57475 and 57493?

Greatest common factor (GCF) of 57475 and 57493 is 1.

GCF(57475,57493) = 1

We will now calculate the prime factors of 57475 and 57493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57475 and 57493.

How to find the GCF of 57475 and 57493?

We will first find the prime factorization of 57475 and 57493. After we will calculate the factors of 57475 and 57493 and find the biggest common factor number .

Step-1: Prime Factorization of 57475

Prime factors of 57475 are 5, 11, 19. Prime factorization of 57475 in exponential form is:

57475 = 5² × 11² × 19¹

Step-2: Prime Factorization of 57493

Prime factors of 57493 are 57493. Prime factorization of 57493 in exponential form is:

57493 = 57493¹

Step-3: Factors of 57475

List of positive integer factors of 57475 that divides 57475 without a remainder.

1, 5, 11, 19, 25, 55, 95, 121, 209, 275, 475, 605, 1045, 2299, 3025, 5225, 11495

Step-4: Factors of 57493

List of positive integer factors of 57493 that divides 57475 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57475 and 57493. The biggest common factor number is the GCF number.
So the greatest common factor 57475 and 57493 is 1.

Also check out the Least Common Multiple of 57475 and 57493