What is the Greatest Common Factor of 51712 and 51728?

Greatest common factor (GCF) of 51712 and 51728 is 16.

GCF(51712,51728) = 16

We will now calculate the prime factors of 51712 and 51728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51712 and 51728.

How to find the GCF of 51712 and 51728?

We will first find the prime factorization of 51712 and 51728. After we will calculate the factors of 51712 and 51728 and find the biggest common factor number .

Step-1: Prime Factorization of 51712

Prime factors of 51712 are 2, 101. Prime factorization of 51712 in exponential form is:

51712 = 2⁹ × 101¹

Step-2: Prime Factorization of 51728

Prime factors of 51728 are 2, 53, 61. Prime factorization of 51728 in exponential form is:

51728 = 2⁴ × 53¹ × 61¹

Step-3: Factors of 51712

List of positive integer factors of 51712 that divides 51712 without a remainder.

1, 2, 4, 8, 16, 32, 64, 101, 128, 202, 256, 404, 512, 808, 1616, 3232, 6464, 12928, 25856

Step-4: Factors of 51728

List of positive integer factors of 51728 that divides 51712 without a remainder.

1, 2, 4, 8, 16, 53, 61, 106, 122, 212, 244, 424, 488, 848, 976, 3233, 6466, 12932, 25864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51712 and 51728. The biggest common factor number is the GCF number.
So the greatest common factor 51712 and 51728 is 16.

Also check out the Least Common Multiple of 51712 and 51728