What is the Greatest Common Factor of 50176 and 50184?

Greatest common factor (GCF) of 50176 and 50184 is 8.

GCF(50176,50184) = 8

We will now calculate the prime factors of 50176 and 50184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50176 and 50184.

How to find the GCF of 50176 and 50184?

We will first find the prime factorization of 50176 and 50184. After we will calculate the factors of 50176 and 50184 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 50184

Prime factors of 50184 are 2, 3, 17, 41. Prime factorization of 50184 in exponential form is:

50184 = 2³ × 3² × 17¹ × 41¹

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 50184

List of positive integer factors of 50184 that divides 50176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 41, 51, 68, 72, 82, 102, 123, 136, 153, 164, 204, 246, 306, 328, 369, 408, 492, 612, 697, 738, 984, 1224, 1394, 1476, 2091, 2788, 2952, 4182, 5576, 6273, 8364, 12546, 16728, 25092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50176 and 50184. The biggest common factor number is the GCF number.
So the greatest common factor 50176 and 50184 is 8.

Also check out the Least Common Multiple of 50176 and 50184