What is the Greatest Common Factor of 50689 and 50706?

Greatest common factor (GCF) of 50689 and 50706 is 1.

GCF(50689,50706) = 1

We will now calculate the prime factors of 50689 and 50706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50689 and 50706.

How to find the GCF of 50689 and 50706?

We will first find the prime factorization of 50689 and 50706. After we will calculate the factors of 50689 and 50706 and find the biggest common factor number .

Step-1: Prime Factorization of 50689

Prime factors of 50689 are 173, 293. Prime factorization of 50689 in exponential form is:

50689 = 173¹ × 293¹

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 50689

List of positive integer factors of 50689 that divides 50689 without a remainder.

1, 173, 293

Step-4: Factors of 50706

List of positive integer factors of 50706 that divides 50689 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 50689 and 50706. The biggest common factor number is the GCF number.
So the greatest common factor 50689 and 50706 is 1.

Also check out the Least Common Multiple of 50689 and 50706