What is the Greatest Common Factor of 57472 and 57482?

Greatest common factor (GCF) of 57472 and 57482 is 2.

GCF(57472,57482) = 2

We will now calculate the prime factors of 57472 and 57482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57472 and 57482.

How to find the GCF of 57472 and 57482?

We will first find the prime factorization of 57472 and 57482. After we will calculate the factors of 57472 and 57482 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 57482

Prime factors of 57482 are 2, 41, 701. Prime factorization of 57482 in exponential form is:

57482 = 2¹ × 41¹ × 701¹

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 57482

List of positive integer factors of 57482 that divides 57472 without a remainder.

1, 2, 41, 82, 701, 1402, 28741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57472 and 57482. The biggest common factor number is the GCF number.
So the greatest common factor 57472 and 57482 is 2.

Also check out the Least Common Multiple of 57472 and 57482