What is the Greatest Common Factor of 50124 and 50133?

Greatest common factor (GCF) of 50124 and 50133 is 3.

GCF(50124,50133) = 3

We will now calculate the prime factors of 50124 and 50133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50124 and 50133.

How to find the GCF of 50124 and 50133?

We will first find the prime factorization of 50124 and 50133. After we will calculate the factors of 50124 and 50133 and find the biggest common factor number .

Step-1: Prime Factorization of 50124

Prime factors of 50124 are 2, 3, 4177. Prime factorization of 50124 in exponential form is:

50124 = 2² × 3¹ × 4177¹

Step-2: Prime Factorization of 50133

Prime factors of 50133 are 3, 17, 983. Prime factorization of 50133 in exponential form is:

50133 = 3¹ × 17¹ × 983¹

Step-3: Factors of 50124

List of positive integer factors of 50124 that divides 50124 without a remainder.

1, 2, 3, 4, 6, 12, 4177, 8354, 12531, 16708, 25062

Step-4: Factors of 50133

List of positive integer factors of 50133 that divides 50124 without a remainder.

1, 3, 17, 51, 983, 2949, 16711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50124 and 50133. The biggest common factor number is the GCF number.
So the greatest common factor 50124 and 50133 is 3.

Also check out the Least Common Multiple of 50124 and 50133