What is the Greatest Common Factor of 50160 and 50170?

Greatest common factor (GCF) of 50160 and 50170 is 10.

GCF(50160,50170) = 10

We will now calculate the prime factors of 50160 and 50170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50160 and 50170.

How to find the GCF of 50160 and 50170?

We will first find the prime factorization of 50160 and 50170. After we will calculate the factors of 50160 and 50170 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 50170

Prime factors of 50170 are 2, 5, 29, 173. Prime factorization of 50170 in exponential form is:

50170 = 2¹ × 5¹ × 29¹ × 173¹

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 50170

List of positive integer factors of 50170 that divides 50160 without a remainder.

1, 2, 5, 10, 29, 58, 145, 173, 290, 346, 865, 1730, 5017, 10034, 25085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50160 and 50170. The biggest common factor number is the GCF number.
So the greatest common factor 50160 and 50170 is 10.

Also check out the Least Common Multiple of 50160 and 50170