What is the Greatest Common Factor of 58704 and 58720?

Greatest common factor (GCF) of 58704 and 58720 is 16.

GCF(58704,58720) = 16

We will now calculate the prime factors of 58704 and 58720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58704 and 58720.

How to find the GCF of 58704 and 58720?

We will first find the prime factorization of 58704 and 58720. After we will calculate the factors of 58704 and 58720 and find the biggest common factor number .

Step-1: Prime Factorization of 58704

Prime factors of 58704 are 2, 3, 1223. Prime factorization of 58704 in exponential form is:

58704 = 2⁴ × 3¹ × 1223¹

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 58704

List of positive integer factors of 58704 that divides 58704 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1223, 2446, 3669, 4892, 7338, 9784, 14676, 19568, 29352

Step-4: Factors of 58720

List of positive integer factors of 58720 that divides 58704 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 58704 and 58720. The biggest common factor number is the GCF number.
So the greatest common factor 58704 and 58720 is 16.

Also check out the Least Common Multiple of 58704 and 58720