What is the Greatest Common Factor of 50556 and 50567?

Greatest common factor (GCF) of 50556 and 50567 is 11.

GCF(50556,50567) = 11

We will now calculate the prime factors of 50556 and 50567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50556 and 50567.

How to find the GCF of 50556 and 50567?

We will first find the prime factorization of 50556 and 50567. After we will calculate the factors of 50556 and 50567 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 50567

Prime factors of 50567 are 11, 4597. Prime factorization of 50567 in exponential form is:

50567 = 11¹ × 4597¹

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 50567

List of positive integer factors of 50567 that divides 50556 without a remainder.

1, 11, 4597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50556 and 50567. The biggest common factor number is the GCF number.
So the greatest common factor 50556 and 50567 is 11.

Also check out the Least Common Multiple of 50556 and 50567