What is the Greatest Common Factor of 50568 and 50582?

Greatest common factor (GCF) of 50568 and 50582 is 14.

GCF(50568,50582) = 14

We will now calculate the prime factors of 50568 and 50582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50568 and 50582.

How to find the GCF of 50568 and 50582?

We will first find the prime factorization of 50568 and 50582. After we will calculate the factors of 50568 and 50582 and find the biggest common factor number .

Step-1: Prime Factorization of 50568

Prime factors of 50568 are 2, 3, 7, 43. Prime factorization of 50568 in exponential form is:

50568 = 2³ × 3¹ × 7² × 43¹

Step-2: Prime Factorization of 50582

Prime factors of 50582 are 2, 7, 3613. Prime factorization of 50582 in exponential form is:

50582 = 2¹ × 7¹ × 3613¹

Step-3: Factors of 50568

List of positive integer factors of 50568 that divides 50568 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 49, 56, 84, 86, 98, 129, 147, 168, 172, 196, 258, 294, 301, 344, 392, 516, 588, 602, 903, 1032, 1176, 1204, 1806, 2107, 2408, 3612, 4214, 6321, 7224, 8428, 12642, 16856, 25284

Step-4: Factors of 50582

List of positive integer factors of 50582 that divides 50568 without a remainder.

1, 2, 7, 14, 3613, 7226, 25291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50568 and 50582. The biggest common factor number is the GCF number.
So the greatest common factor 50568 and 50582 is 14.

Also check out the Least Common Multiple of 50568 and 50582