What is the Greatest Common Factor of 50556 and 50569?

Greatest common factor (GCF) of 50556 and 50569 is 1.

GCF(50556,50569) = 1

We will now calculate the prime factors of 50556 and 50569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50556 and 50569.

How to find the GCF of 50556 and 50569?

We will first find the prime factorization of 50556 and 50569. After we will calculate the factors of 50556 and 50569 and find the biggest common factor number .

Step-1: Prime Factorization of 50556

Prime factors of 50556 are 2, 3, 11, 383. Prime factorization of 50556 in exponential form is:

50556 = 2² × 3¹ × 11¹ × 383¹

Step-2: Prime Factorization of 50569

Prime factors of 50569 are 61, 829. Prime factorization of 50569 in exponential form is:

50569 = 61¹ × 829¹

Step-3: Factors of 50556

List of positive integer factors of 50556 that divides 50556 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 383, 766, 1149, 1532, 2298, 4213, 4596, 8426, 12639, 16852, 25278

Step-4: Factors of 50569

List of positive integer factors of 50569 that divides 50556 without a remainder.

1, 61, 829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50556 and 50569. The biggest common factor number is the GCF number.
So the greatest common factor 50556 and 50569 is 1.

Also check out the Least Common Multiple of 50556 and 50569