What is the Greatest Common Factor of 58128 and 58144?

Greatest common factor (GCF) of 58128 and 58144 is 16.

GCF(58128,58144) = 16

We will now calculate the prime factors of 58128 and 58144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58128 and 58144.

How to find the GCF of 58128 and 58144?

We will first find the prime factorization of 58128 and 58144. After we will calculate the factors of 58128 and 58144 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58144

Prime factors of 58144 are 2, 23, 79. Prime factorization of 58144 in exponential form is:

58144 = 2⁵ × 23¹ × 79¹

Step-3: Factors of 58128

List of positive integer factors of 58128 that divides 58128 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

Step-4: Factors of 58144

List of positive integer factors of 58144 that divides 58128 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 79, 92, 158, 184, 316, 368, 632, 736, 1264, 1817, 2528, 3634, 7268, 14536, 29072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58128 and 58144. The biggest common factor number is the GCF number.
So the greatest common factor 58128 and 58144 is 16.

Also check out the Least Common Multiple of 58128 and 58144