What is the Greatest Common Factor of 50166 and 50181?

Greatest common factor (GCF) of 50166 and 50181 is 3.

GCF(50166,50181) = 3

We will now calculate the prime factors of 50166 and 50181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50166 and 50181.

How to find the GCF of 50166 and 50181?

We will first find the prime factorization of 50166 and 50181. After we will calculate the factors of 50166 and 50181 and find the biggest common factor number .

Step-1: Prime Factorization of 50166

Prime factors of 50166 are 2, 3, 929. Prime factorization of 50166 in exponential form is:

50166 = 2¹ × 3³ × 929¹

Step-2: Prime Factorization of 50181

Prime factors of 50181 are 3, 43, 389. Prime factorization of 50181 in exponential form is:

50181 = 3¹ × 43¹ × 389¹

Step-3: Factors of 50166

List of positive integer factors of 50166 that divides 50166 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 929, 1858, 2787, 5574, 8361, 16722, 25083

Step-4: Factors of 50181

List of positive integer factors of 50181 that divides 50166 without a remainder.

1, 3, 43, 129, 389, 1167, 16727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50166 and 50181. The biggest common factor number is the GCF number.
So the greatest common factor 50166 and 50181 is 3.

Also check out the Least Common Multiple of 50166 and 50181