What is the Greatest Common Factor of 50176 and 50190?

Greatest common factor (GCF) of 50176 and 50190 is 14.

GCF(50176,50190) = 14

We will now calculate the prime factors of 50176 and 50190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50176 and 50190.

How to find the GCF of 50176 and 50190?

We will first find the prime factorization of 50176 and 50190. After we will calculate the factors of 50176 and 50190 and find the biggest common factor number .

Step-1: Prime Factorization of 50176

Prime factors of 50176 are 2, 7. Prime factorization of 50176 in exponential form is:

50176 = 2¹⁰ × 7²

Step-2: Prime Factorization of 50190

Prime factors of 50190 are 2, 3, 5, 7, 239. Prime factorization of 50190 in exponential form is:

50190 = 2¹ × 3¹ × 5¹ × 7¹ × 239¹

Step-3: Factors of 50176

List of positive integer factors of 50176 that divides 50176 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 256, 392, 448, 512, 784, 896, 1024, 1568, 1792, 3136, 3584, 6272, 7168, 12544, 25088

Step-4: Factors of 50190

List of positive integer factors of 50190 that divides 50176 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 239, 478, 717, 1195, 1434, 1673, 2390, 3346, 3585, 5019, 7170, 8365, 10038, 16730, 25095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50176 and 50190. The biggest common factor number is the GCF number.
So the greatest common factor 50176 and 50190 is 14.

Also check out the Least Common Multiple of 50176 and 50190