What is the Greatest Common Factor of 50679 and 50688?

Greatest common factor (GCF) of 50679 and 50688 is 9.

GCF(50679,50688) = 9

We will now calculate the prime factors of 50679 and 50688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50679 and 50688.

How to find the GCF of 50679 and 50688?

We will first find the prime factorization of 50679 and 50688. After we will calculate the factors of 50679 and 50688 and find the biggest common factor number .

Step-1: Prime Factorization of 50679

Prime factors of 50679 are 3, 1877. Prime factorization of 50679 in exponential form is:

50679 = 3³ × 1877¹

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 50679

List of positive integer factors of 50679 that divides 50679 without a remainder.

1, 3, 9, 27, 1877, 5631, 16893

Step-4: Factors of 50688

List of positive integer factors of 50688 that divides 50679 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 50679 and 50688. The biggest common factor number is the GCF number.
So the greatest common factor 50679 and 50688 is 9.

Also check out the Least Common Multiple of 50679 and 50688