What is the Greatest Common Factor of 50572 and 50582?

Greatest common factor (GCF) of 50572 and 50582 is 2.

GCF(50572,50582) = 2

We will now calculate the prime factors of 50572 and 50582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50572 and 50582.

How to find the GCF of 50572 and 50582?

We will first find the prime factorization of 50572 and 50582. After we will calculate the factors of 50572 and 50582 and find the biggest common factor number .

Step-1: Prime Factorization of 50572

Prime factors of 50572 are 2, 47, 269. Prime factorization of 50572 in exponential form is:

50572 = 2² × 47¹ × 269¹

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 50572

List of positive integer factors of 50572 that divides 50572 without a remainder.

1, 2, 4, 47, 94, 188, 269, 538, 1076, 12643, 25286

Step-4: Factors of 50582

List of positive integer factors of 50582 that divides 50572 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50572 and 50582. The biggest common factor number is the GCF number.
So the greatest common factor 50572 and 50582 is 2.

Also check out the Least Common Multiple of 50572 and 50582