What is the Greatest Common Factor of 51856 and 51872?

Greatest common factor (GCF) of 51856 and 51872 is 16.

GCF(51856,51872) = 16

We will now calculate the prime factors of 51856 and 51872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51856 and 51872.

How to find the GCF of 51856 and 51872?

We will first find the prime factorization of 51856 and 51872. After we will calculate the factors of 51856 and 51872 and find the biggest common factor number .

Step-1: Prime Factorization of 51856

Prime factors of 51856 are 2, 7, 463. Prime factorization of 51856 in exponential form is:

51856 = 2⁴ × 7¹ × 463¹

Step-2: Prime Factorization of 51872

Prime factors of 51872 are 2, 1621. Prime factorization of 51872 in exponential form is:

51872 = 2⁵ × 1621¹

Step-3: Factors of 51856

List of positive integer factors of 51856 that divides 51856 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 463, 926, 1852, 3241, 3704, 6482, 7408, 12964, 25928

Step-4: Factors of 51872

List of positive integer factors of 51872 that divides 51856 without a remainder.

1, 2, 4, 8, 16, 32, 1621, 3242, 6484, 12968, 25936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51856 and 51872. The biggest common factor number is the GCF number.
So the greatest common factor 51856 and 51872 is 16.

Also check out the Least Common Multiple of 51856 and 51872