What is the Greatest Common Factor of 58128 and 58139?

Greatest common factor (GCF) of 58128 and 58139 is 1.

GCF(58128,58139) = 1

We will now calculate the prime factors of 58128 and 58139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58128 and 58139.

How to find the GCF of 58128 and 58139?

We will first find the prime factorization of 58128 and 58139. After we will calculate the factors of 58128 and 58139 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 58139

Prime factors of 58139 are 47, 1237. Prime factorization of 58139 in exponential form is:

58139 = 47¹ × 1237¹

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 58139

List of positive integer factors of 58139 that divides 58128 without a remainder.

1, 47, 1237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58128 and 58139. The biggest common factor number is the GCF number.
So the greatest common factor 58128 and 58139 is 1.

Also check out the Least Common Multiple of 58128 and 58139