What is the Greatest Common Factor of 57008 and 57028?

Greatest common factor (GCF) of 57008 and 57028 is 4.

GCF(57008,57028) = 4

We will now calculate the prime factors of 57008 and 57028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57008 and 57028.

How to find the GCF of 57008 and 57028?

We will first find the prime factorization of 57008 and 57028. After we will calculate the factors of 57008 and 57028 and find the biggest common factor number .

Step-1: Prime Factorization of 57008

Prime factors of 57008 are 2, 7, 509. Prime factorization of 57008 in exponential form is:

57008 = 2⁴ × 7¹ × 509¹

Step-2: 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-3: Factors of 57008

List of positive integer factors of 57008 that divides 57008 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 509, 1018, 2036, 3563, 4072, 7126, 8144, 14252, 28504

Step-4: Factors of 57028

List of positive integer factors of 57028 that divides 57008 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57008 and 57028. The biggest common factor number is the GCF number.
So the greatest common factor 57008 and 57028 is 4.

Also check out the Least Common Multiple of 57008 and 57028