What is the Greatest Common Factor of 50160 and 50176?

Greatest common factor (GCF) of 50160 and 50176 is 16.

GCF(50160,50176) = 16

We will now calculate the prime factors of 50160 and 50176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50160 and 50176.

How to find the GCF of 50160 and 50176?

We will first find the prime factorization of 50160 and 50176. After we will calculate the factors of 50160 and 50176 and find the biggest common factor number .

Step-1: Prime Factorization of 50160

Prime factors of 50160 are 2, 3, 5, 11, 19. Prime factorization of 50160 in exponential form is:

50160 = 2⁴ × 3¹ × 5¹ × 11¹ × 19¹

Step-2: Prime Factorization of 50176

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

50176 = 2¹⁰ × 7²

Step-3: Factors of 50160

List of positive integer factors of 50160 that divides 50160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 19, 20, 22, 24, 30, 33, 38, 40, 44, 48, 55, 57, 60, 66, 76, 80, 88, 95, 110, 114, 120, 132, 152, 165, 176, 190, 209, 220, 228, 240, 264, 285, 304, 330, 380, 418, 440, 456, 528, 570, 627, 660, 760, 836, 880, 912, 1045, 1140, 1254, 1320, 1520, 1672, 2090, 2280, 2508, 2640, 3135, 3344, 4180, 4560, 5016, 6270, 8360, 10032, 12540, 16720, 25080

Step-4: Factors of 50176

List of positive integer factors of 50176 that divides 50160 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50160 and 50176. The biggest common factor number is the GCF number.
So the greatest common factor 50160 and 50176 is 16.

Also check out the Least Common Multiple of 50160 and 50176