What is the Greatest Common Factor of 57104 and 57112?

Greatest common factor (GCF) of 57104 and 57112 is 8.

GCF(57104,57112) = 8

We will now calculate the prime factors of 57104 and 57112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57104 and 57112.

How to find the GCF of 57104 and 57112?

We will first find the prime factorization of 57104 and 57112. After we will calculate the factors of 57104 and 57112 and find the biggest common factor number .

Step-1: Prime Factorization of 57104

Prime factors of 57104 are 2, 43, 83. Prime factorization of 57104 in exponential form is:

57104 = 2⁴ × 43¹ × 83¹

Step-2: Prime Factorization of 57112

Prime factors of 57112 are 2, 11, 59. Prime factorization of 57112 in exponential form is:

57112 = 2³ × 11² × 59¹

Step-3: Factors of 57104

List of positive integer factors of 57104 that divides 57104 without a remainder.

1, 2, 4, 8, 16, 43, 83, 86, 166, 172, 332, 344, 664, 688, 1328, 3569, 7138, 14276, 28552

Step-4: Factors of 57112

List of positive integer factors of 57112 that divides 57104 without a remainder.

1, 2, 4, 8, 11, 22, 44, 59, 88, 118, 121, 236, 242, 472, 484, 649, 968, 1298, 2596, 5192, 7139, 14278, 28556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57104 and 57112. The biggest common factor number is the GCF number.
So the greatest common factor 57104 and 57112 is 8.

Also check out the Least Common Multiple of 57104 and 57112