What is the Greatest Common Factor of 57048 and 57056?

Greatest common factor (GCF) of 57048 and 57056 is 8.

GCF(57048,57056) = 8

We will now calculate the prime factors of 57048 and 57056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57048 and 57056.

How to find the GCF of 57048 and 57056?

We will first find the prime factorization of 57048 and 57056. After we will calculate the factors of 57048 and 57056 and find the biggest common factor number .

Step-1: Prime Factorization of 57048

Prime factors of 57048 are 2, 3, 2377. Prime factorization of 57048 in exponential form is:

57048 = 2³ × 3¹ × 2377¹

Step-2: Prime Factorization of 57056

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

57056 = 2⁵ × 1783¹

Step-3: Factors of 57048

List of positive integer factors of 57048 that divides 57048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2377, 4754, 7131, 9508, 14262, 19016, 28524

Step-4: Factors of 57056

List of positive integer factors of 57056 that divides 57048 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57048 and 57056. The biggest common factor number is the GCF number.
So the greatest common factor 57048 and 57056 is 8.

Also check out the Least Common Multiple of 57048 and 57056