What is the Greatest Common Factor of 51728 and 51744?

Greatest common factor (GCF) of 51728 and 51744 is 16.

GCF(51728,51744) = 16

We will now calculate the prime factors of 51728 and 51744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51728 and 51744.

How to find the GCF of 51728 and 51744?

We will first find the prime factorization of 51728 and 51744. After we will calculate the factors of 51728 and 51744 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51744

Prime factors of 51744 are 2, 3, 7, 11. Prime factorization of 51744 in exponential form is:

51744 = 2⁵ × 3¹ × 7² × 11¹

Step-3: Factors of 51728

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

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

Step-4: Factors of 51744

List of positive integer factors of 51744 that divides 51728 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 49, 56, 66, 77, 84, 88, 96, 98, 112, 132, 147, 154, 168, 176, 196, 224, 231, 264, 294, 308, 336, 352, 392, 462, 528, 539, 588, 616, 672, 784, 924, 1056, 1078, 1176, 1232, 1568, 1617, 1848, 2156, 2352, 2464, 3234, 3696, 4312, 4704, 6468, 7392, 8624, 12936, 17248, 25872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51728 and 51744. The biggest common factor number is the GCF number.
So the greatest common factor 51728 and 51744 is 16.

Also check out the Least Common Multiple of 51728 and 51744