What is the Greatest Common Factor of 50670 and 50688?

Greatest common factor (GCF) of 50670 and 50688 is 18.

GCF(50670,50688) = 18

We will now calculate the prime factors of 50670 and 50688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50670 and 50688.

How to find the GCF of 50670 and 50688?

We will first find the prime factorization of 50670 and 50688. After we will calculate the factors of 50670 and 50688 and find the biggest common factor number .

Step-1: Prime Factorization of 50670

Prime factors of 50670 are 2, 3, 5, 563. Prime factorization of 50670 in exponential form is:

50670 = 2¹ × 3² × 5¹ × 563¹

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 50670

List of positive integer factors of 50670 that divides 50670 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 563, 1126, 1689, 2815, 3378, 5067, 5630, 8445, 10134, 16890, 25335

Step-4: Factors of 50688

List of positive integer factors of 50688 that divides 50670 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 50670 and 50688. The biggest common factor number is the GCF number.
So the greatest common factor 50670 and 50688 is 18.

Also check out the Least Common Multiple of 50670 and 50688