What is the Greatest Common Factor of 57472 and 57484?

Greatest common factor (GCF) of 57472 and 57484 is 4.

GCF(57472,57484) = 4

We will now calculate the prime factors of 57472 and 57484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57472 and 57484.

How to find the GCF of 57472 and 57484?

We will first find the prime factorization of 57472 and 57484. After we will calculate the factors of 57472 and 57484 and find the biggest common factor number .

Step-1: Prime Factorization of 57472

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

57472 = 2⁷ × 449¹

Step-2: Prime Factorization of 57484

Prime factors of 57484 are 2, 7, 2053. Prime factorization of 57484 in exponential form is:

57484 = 2² × 7¹ × 2053¹

Step-3: Factors of 57472

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

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

Step-4: Factors of 57484

List of positive integer factors of 57484 that divides 57472 without a remainder.

1, 2, 4, 7, 14, 28, 2053, 4106, 8212, 14371, 28742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57472 and 57484. The biggest common factor number is the GCF number.
So the greatest common factor 57472 and 57484 is 4.

Also check out the Least Common Multiple of 57472 and 57484