What is the Greatest Common Factor of 50148 and 50161?

Greatest common factor (GCF) of 50148 and 50161 is 1.

GCF(50148,50161) = 1

We will now calculate the prime factors of 50148 and 50161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50148 and 50161.

How to find the GCF of 50148 and 50161?

We will first find the prime factorization of 50148 and 50161. After we will calculate the factors of 50148 and 50161 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50161

Prime factors of 50161 are 103, 487. Prime factorization of 50161 in exponential form is:

50161 = 103¹ × 487¹

Step-3: Factors of 50148

List of positive integer factors of 50148 that divides 50148 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

Step-4: Factors of 50161

List of positive integer factors of 50161 that divides 50148 without a remainder.

1, 103, 487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50148 and 50161. The biggest common factor number is the GCF number.
So the greatest common factor 50148 and 50161 is 1.

Also check out the Least Common Multiple of 50148 and 50161