What is the Greatest Common Factor of 50673 and 50688?

Greatest common factor (GCF) of 50673 and 50688 is 3.

GCF(50673,50688) = 3

We will now calculate the prime factors of 50673 and 50688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50673 and 50688.

How to find the GCF of 50673 and 50688?

We will first find the prime factorization of 50673 and 50688. After we will calculate the factors of 50673 and 50688 and find the biggest common factor number .

Step-1: Prime Factorization of 50673

Prime factors of 50673 are 3, 7, 19, 127. Prime factorization of 50673 in exponential form is:

50673 = 3¹ × 7¹ × 19¹ × 127¹

Step-2: 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-3: Factors of 50673

List of positive integer factors of 50673 that divides 50673 without a remainder.

1, 3, 7, 19, 21, 57, 127, 133, 381, 399, 889, 2413, 2667, 7239, 16891

Step-4: Factors of 50688

List of positive integer factors of 50688 that divides 50673 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50673 and 50688. The biggest common factor number is the GCF number.
So the greatest common factor 50673 and 50688 is 3.

Also check out the Least Common Multiple of 50673 and 50688