What is the Greatest Common Factor of 57470 and 57483?

Greatest common factor (GCF) of 57470 and 57483 is 1.

GCF(57470,57483) = 1

We will now calculate the prime factors of 57470 and 57483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57470 and 57483.

How to find the GCF of 57470 and 57483?

We will first find the prime factorization of 57470 and 57483. After we will calculate the factors of 57470 and 57483 and find the biggest common factor number .

Step-1: Prime Factorization of 57470

Prime factors of 57470 are 2, 5, 7, 821. Prime factorization of 57470 in exponential form is:

57470 = 2¹ × 5¹ × 7¹ × 821¹

Step-2: Prime Factorization of 57483

Prime factors of 57483 are 3, 2129. Prime factorization of 57483 in exponential form is:

57483 = 3³ × 2129¹

Step-3: Factors of 57470

List of positive integer factors of 57470 that divides 57470 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 821, 1642, 4105, 5747, 8210, 11494, 28735

Step-4: Factors of 57483

List of positive integer factors of 57483 that divides 57470 without a remainder.

1, 3, 9, 27, 2129, 6387, 19161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57470 and 57483. The biggest common factor number is the GCF number.
So the greatest common factor 57470 and 57483 is 1.

Also check out the Least Common Multiple of 57470 and 57483