What is the Greatest Common Factor of 50609 and 50626?

Greatest common factor (GCF) of 50609 and 50626 is 17.

GCF(50609,50626) = 17

We will now calculate the prime factors of 50609 and 50626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50609 and 50626.

How to find the GCF of 50609 and 50626?

We will first find the prime factorization of 50609 and 50626. After we will calculate the factors of 50609 and 50626 and find the biggest common factor number .

Step-1: Prime Factorization of 50609

Prime factors of 50609 are 13, 17, 229. Prime factorization of 50609 in exponential form is:

50609 = 13¹ × 17¹ × 229¹

Step-2: Prime Factorization of 50626

Prime factors of 50626 are 2, 17, 1489. Prime factorization of 50626 in exponential form is:

50626 = 2¹ × 17¹ × 1489¹

Step-3: Factors of 50609

List of positive integer factors of 50609 that divides 50609 without a remainder.

1, 13, 17, 221, 229, 2977, 3893

Step-4: Factors of 50626

List of positive integer factors of 50626 that divides 50609 without a remainder.

1, 2, 17, 34, 1489, 2978, 25313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50609 and 50626. The biggest common factor number is the GCF number.
So the greatest common factor 50609 and 50626 is 17.

Also check out the Least Common Multiple of 50609 and 50626