What is the Greatest Common Factor of 58112 and 58128?

Greatest common factor (GCF) of 58112 and 58128 is 16.

GCF(58112,58128) = 16

We will now calculate the prime factors of 58112 and 58128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58112 and 58128.

How to find the GCF of 58112 and 58128?

We will first find the prime factorization of 58112 and 58128. After we will calculate the factors of 58112 and 58128 and find the biggest common factor number .

Step-1: Prime Factorization of 58112

Prime factors of 58112 are 2, 227. Prime factorization of 58112 in exponential form is:

58112 = 2⁸ × 227¹

Step-2: Prime Factorization of 58128

Prime factors of 58128 are 2, 3, 7, 173. Prime factorization of 58128 in exponential form is:

58128 = 2⁴ × 3¹ × 7¹ × 173¹

Step-3: Factors of 58112

List of positive integer factors of 58112 that divides 58112 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 227, 256, 454, 908, 1816, 3632, 7264, 14528, 29056

Step-4: Factors of 58128

List of positive integer factors of 58128 that divides 58112 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 173, 336, 346, 519, 692, 1038, 1211, 1384, 2076, 2422, 2768, 3633, 4152, 4844, 7266, 8304, 9688, 14532, 19376, 29064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58112 and 58128. The biggest common factor number is the GCF number.
So the greatest common factor 58112 and 58128 is 16.

Also check out the Least Common Multiple of 58112 and 58128