What is the Greatest Common Factor of 57028 and 57036?

Greatest common factor (GCF) of 57028 and 57036 is 4.

GCF(57028,57036) = 4

We will now calculate the prime factors of 57028 and 57036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57028 and 57036.

How to find the GCF of 57028 and 57036?

We will first find the prime factorization of 57028 and 57036. After we will calculate the factors of 57028 and 57036 and find the biggest common factor number .

Step-1: Prime Factorization of 57028

Prime factors of 57028 are 2, 53, 269. Prime factorization of 57028 in exponential form is:

57028 = 2² × 53¹ × 269¹

Step-2: Prime Factorization of 57036

Prime factors of 57036 are 2, 3, 7, 97. Prime factorization of 57036 in exponential form is:

57036 = 2² × 3¹ × 7² × 97¹

Step-3: Factors of 57028

List of positive integer factors of 57028 that divides 57028 without a remainder.

1, 2, 4, 53, 106, 212, 269, 538, 1076, 14257, 28514

Step-4: Factors of 57036

List of positive integer factors of 57036 that divides 57028 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 97, 98, 147, 194, 196, 291, 294, 388, 582, 588, 679, 1164, 1358, 2037, 2716, 4074, 4753, 8148, 9506, 14259, 19012, 28518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57028 and 57036. The biggest common factor number is the GCF number.
So the greatest common factor 57028 and 57036 is 4.

Also check out the Least Common Multiple of 57028 and 57036