What is the Greatest Common Factor of 57472 and 57487?

Greatest common factor (GCF) of 57472 and 57487 is 1.

GCF(57472,57487) = 1

We will now calculate the prime factors of 57472 and 57487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57472 and 57487.

How to find the GCF of 57472 and 57487?

We will first find the prime factorization of 57472 and 57487. After we will calculate the factors of 57472 and 57487 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 57487

Prime factors of 57487 are 57487. Prime factorization of 57487 in exponential form is:

57487 = 57487¹

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 57487

List of positive integer factors of 57487 that divides 57472 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57472 and 57487. The biggest common factor number is the GCF number.
So the greatest common factor 57472 and 57487 is 1.

Also check out the Least Common Multiple of 57472 and 57487