What is the Greatest Common Factor of 59856 and 59872?

Greatest common factor (GCF) of 59856 and 59872 is 16.

GCF(59856,59872) = 16

We will now calculate the prime factors of 59856 and 59872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59856 and 59872.

How to find the GCF of 59856 and 59872?

We will first find the prime factorization of 59856 and 59872. After we will calculate the factors of 59856 and 59872 and find the biggest common factor number .

Step-1: Prime Factorization of 59856

Prime factors of 59856 are 2, 3, 29, 43. Prime factorization of 59856 in exponential form is:

59856 = 2⁴ × 3¹ × 29¹ × 43¹

Step-2: Prime Factorization of 59872

Prime factors of 59872 are 2, 1871. Prime factorization of 59872 in exponential form is:

59872 = 2⁵ × 1871¹

Step-3: Factors of 59856

List of positive integer factors of 59856 that divides 59856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 43, 48, 58, 86, 87, 116, 129, 172, 174, 232, 258, 344, 348, 464, 516, 688, 696, 1032, 1247, 1392, 2064, 2494, 3741, 4988, 7482, 9976, 14964, 19952, 29928

Step-4: Factors of 59872

List of positive integer factors of 59872 that divides 59856 without a remainder.

1, 2, 4, 8, 16, 32, 1871, 3742, 7484, 14968, 29936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59856 and 59872. The biggest common factor number is the GCF number.
So the greatest common factor 59856 and 59872 is 16.

Also check out the Least Common Multiple of 59856 and 59872