What is the Greatest Common Factor of 50688 and 50706?

Greatest common factor (GCF) of 50688 and 50706 is 18.

GCF(50688,50706) = 18

We will now calculate the prime factors of 50688 and 50706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50688 and 50706.

How to find the GCF of 50688 and 50706?

We will first find the prime factorization of 50688 and 50706. After we will calculate the factors of 50688 and 50706 and find the biggest common factor number .

Step-1: Prime Factorization of 50688

Prime factors of 50688 are 2, 3, 11. Prime factorization of 50688 in exponential form is:

50688 = 2⁹ × 3² × 11¹

Step-2: Prime Factorization of 50706

Prime factors of 50706 are 2, 3, 313. Prime factorization of 50706 in exponential form is:

50706 = 2¹ × 3⁴ × 313¹

Step-3: Factors of 50688

List of positive integer factors of 50688 that divides 50688 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 128, 132, 144, 176, 192, 198, 256, 264, 288, 352, 384, 396, 512, 528, 576, 704, 768, 792, 1056, 1152, 1408, 1536, 1584, 2112, 2304, 2816, 3168, 4224, 4608, 5632, 6336, 8448, 12672, 16896, 25344

Step-4: Factors of 50706

List of positive integer factors of 50706 that divides 50688 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 313, 626, 939, 1878, 2817, 5634, 8451, 16902, 25353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50688 and 50706. The biggest common factor number is the GCF number.
So the greatest common factor 50688 and 50706 is 18.

Also check out the Least Common Multiple of 50688 and 50706