What is the Greatest Common Factor of 59712 and 59728?

Greatest common factor (GCF) of 59712 and 59728 is 16.

GCF(59712,59728) = 16

We will now calculate the prime factors of 59712 and 59728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59712 and 59728.

How to find the GCF of 59712 and 59728?

We will first find the prime factorization of 59712 and 59728. After we will calculate the factors of 59712 and 59728 and find the biggest common factor number .

Step-1: Prime Factorization of 59712

Prime factors of 59712 are 2, 3, 311. Prime factorization of 59712 in exponential form is:

59712 = 2⁶ × 3¹ × 311¹

Step-2: Prime Factorization of 59728

Prime factors of 59728 are 2, 3733. Prime factorization of 59728 in exponential form is:

59728 = 2⁴ × 3733¹

Step-3: Factors of 59712

List of positive integer factors of 59712 that divides 59712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 311, 622, 933, 1244, 1866, 2488, 3732, 4976, 7464, 9952, 14928, 19904, 29856

Step-4: Factors of 59728

List of positive integer factors of 59728 that divides 59712 without a remainder.

1, 2, 4, 8, 16, 3733, 7466, 14932, 29864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59712 and 59728. The biggest common factor number is the GCF number.
So the greatest common factor 59712 and 59728 is 16.

Also check out the Least Common Multiple of 59712 and 59728