What is the Greatest Common Factor of 50133 and 50148?

Greatest common factor (GCF) of 50133 and 50148 is 3.

GCF(50133,50148) = 3

We will now calculate the prime factors of 50133 and 50148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50133 and 50148.

How to find the GCF of 50133 and 50148?

We will first find the prime factorization of 50133 and 50148. After we will calculate the factors of 50133 and 50148 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50148

Prime factors of 50148 are 2, 3, 7, 199. Prime factorization of 50148 in exponential form is:

50148 = 2² × 3² × 7¹ × 199¹

Step-3: Factors of 50133

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

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

Step-4: Factors of 50148

List of positive integer factors of 50148 that divides 50133 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 199, 252, 398, 597, 796, 1194, 1393, 1791, 2388, 2786, 3582, 4179, 5572, 7164, 8358, 12537, 16716, 25074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50133 and 50148. The biggest common factor number is the GCF number.
So the greatest common factor 50133 and 50148 is 3.

Also check out the Least Common Multiple of 50133 and 50148