What is the Greatest Common Factor of 58715 and 58720?

Greatest common factor (GCF) of 58715 and 58720 is 5.

GCF(58715,58720) = 5

We will now calculate the prime factors of 58715 and 58720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58715 and 58720.

How to find the GCF of 58715 and 58720?

We will first find the prime factorization of 58715 and 58720. After we will calculate the factors of 58715 and 58720 and find the biggest common factor number .

Step-1: Prime Factorization of 58715

Prime factors of 58715 are 5, 11743. Prime factorization of 58715 in exponential form is:

58715 = 5¹ × 11743¹

Step-2: Prime Factorization of 58720

Prime factors of 58720 are 2, 5, 367. Prime factorization of 58720 in exponential form is:

58720 = 2⁵ × 5¹ × 367¹

Step-3: Factors of 58715

List of positive integer factors of 58715 that divides 58715 without a remainder.

1, 5, 11743

Step-4: Factors of 58720

List of positive integer factors of 58720 that divides 58715 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 367, 734, 1468, 1835, 2936, 3670, 5872, 7340, 11744, 14680, 29360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58715 and 58720. The biggest common factor number is the GCF number.
So the greatest common factor 58715 and 58720 is 5.

Also check out the Least Common Multiple of 58715 and 58720