What is the Greatest Common Factor of 57056 and 57072?

Greatest common factor (GCF) of 57056 and 57072 is 16.

GCF(57056,57072) = 16

We will now calculate the prime factors of 57056 and 57072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57056 and 57072.

How to find the GCF of 57056 and 57072?

We will first find the prime factorization of 57056 and 57072. After we will calculate the factors of 57056 and 57072 and find the biggest common factor number .

Step-1: Prime Factorization of 57056

Prime factors of 57056 are 2, 1783. Prime factorization of 57056 in exponential form is:

57056 = 2⁵ × 1783¹

Step-2: Prime Factorization of 57072

Prime factors of 57072 are 2, 3, 29, 41. Prime factorization of 57072 in exponential form is:

57072 = 2⁴ × 3¹ × 29¹ × 41¹

Step-3: Factors of 57056

List of positive integer factors of 57056 that divides 57056 without a remainder.

1, 2, 4, 8, 16, 32, 1783, 3566, 7132, 14264, 28528

Step-4: Factors of 57072

List of positive integer factors of 57072 that divides 57056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 41, 48, 58, 82, 87, 116, 123, 164, 174, 232, 246, 328, 348, 464, 492, 656, 696, 984, 1189, 1392, 1968, 2378, 3567, 4756, 7134, 9512, 14268, 19024, 28536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57056 and 57072. The biggest common factor number is the GCF number.
So the greatest common factor 57056 and 57072 is 16.

Also check out the Least Common Multiple of 57056 and 57072