What is the Greatest Common Factor of 50582 and 50596?

Greatest common factor (GCF) of 50582 and 50596 is 14.

GCF(50582,50596) = 14

We will now calculate the prime factors of 50582 and 50596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50582 and 50596.

How to find the GCF of 50582 and 50596?

We will first find the prime factorization of 50582 and 50596. After we will calculate the factors of 50582 and 50596 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50596

Prime factors of 50596 are 2, 7, 13, 139. Prime factorization of 50596 in exponential form is:

50596 = 2² × 7¹ × 13¹ × 139¹

Step-3: Factors of 50582

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

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

Step-4: Factors of 50596

List of positive integer factors of 50596 that divides 50582 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 139, 182, 278, 364, 556, 973, 1807, 1946, 3614, 3892, 7228, 12649, 25298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50582 and 50596. The biggest common factor number is the GCF number.
So the greatest common factor 50582 and 50596 is 14.

Also check out the Least Common Multiple of 50582 and 50596