What is the Greatest Common Factor of 57459 and 57472?

Greatest common factor (GCF) of 57459 and 57472 is 1.

GCF(57459,57472) = 1

We will now calculate the prime factors of 57459 and 57472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57459 and 57472.

How to find the GCF of 57459 and 57472?

We will first find the prime factorization of 57459 and 57472. After we will calculate the factors of 57459 and 57472 and find the biggest common factor number .

Step-1: Prime Factorization of 57459

Prime factors of 57459 are 3, 107, 179. Prime factorization of 57459 in exponential form is:

57459 = 3¹ × 107¹ × 179¹

Step-2: Prime Factorization of 57472

Prime factors of 57472 are 2, 449. Prime factorization of 57472 in exponential form is:

57472 = 2⁷ × 449¹

Step-3: Factors of 57459

List of positive integer factors of 57459 that divides 57459 without a remainder.

1, 3, 107, 179, 321, 537, 19153

Step-4: Factors of 57472

List of positive integer factors of 57472 that divides 57459 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 449, 898, 1796, 3592, 7184, 14368, 28736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57459 and 57472. The biggest common factor number is the GCF number.
So the greatest common factor 57459 and 57472 is 1.

Also check out the Least Common Multiple of 57459 and 57472