What is the Greatest Common Factor of 50160 and 50175?

Greatest common factor (GCF) of 50160 and 50175 is 15.

GCF(50160,50175) = 15

We will now calculate the prime factors of 50160 and 50175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50160 and 50175.

How to find the GCF of 50160 and 50175?

We will first find the prime factorization of 50160 and 50175. After we will calculate the factors of 50160 and 50175 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 50175

Prime factors of 50175 are 3, 5, 223. Prime factorization of 50175 in exponential form is:

50175 = 3² × 5² × 223¹

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 50175

List of positive integer factors of 50175 that divides 50160 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 223, 225, 669, 1115, 2007, 3345, 5575, 10035, 16725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50160 and 50175. The biggest common factor number is the GCF number.
So the greatest common factor 50160 and 50175 is 15.

Also check out the Least Common Multiple of 50160 and 50175