What is the Greatest Common Factor of 58144 and 58160?

Greatest common factor (GCF) of 58144 and 58160 is 16.

GCF(58144,58160) = 16

We will now calculate the prime factors of 58144 and 58160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58144 and 58160.

How to find the GCF of 58144 and 58160?

We will first find the prime factorization of 58144 and 58160. After we will calculate the factors of 58144 and 58160 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58160

Prime factors of 58160 are 2, 5, 727. Prime factorization of 58160 in exponential form is:

58160 = 2⁴ × 5¹ × 727¹

Step-3: Factors of 58144

List of positive integer factors of 58144 that divides 58144 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

Step-4: Factors of 58160

List of positive integer factors of 58160 that divides 58144 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 727, 1454, 2908, 3635, 5816, 7270, 11632, 14540, 29080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58144 and 58160. The biggest common factor number is the GCF number.
So the greatest common factor 58144 and 58160 is 16.

Also check out the Least Common Multiple of 58144 and 58160