What is the Greatest Common Factor of 50688 and 50699?

Greatest common factor (GCF) of 50688 and 50699 is 11.

GCF(50688,50699) = 11

We will now calculate the prime factors of 50688 and 50699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50688 and 50699.

How to find the GCF of 50688 and 50699?

We will first find the prime factorization of 50688 and 50699. After we will calculate the factors of 50688 and 50699 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 50699

Prime factors of 50699 are 11, 419. Prime factorization of 50699 in exponential form is:

50699 = 11² × 419¹

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 50699

List of positive integer factors of 50699 that divides 50688 without a remainder.

1, 11, 121, 419, 4609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50688 and 50699. The biggest common factor number is the GCF number.
So the greatest common factor 50688 and 50699 is 11.

Also check out the Least Common Multiple of 50688 and 50699