What is the Greatest Common Factor of 50149 and 50160?

Greatest common factor (GCF) of 50149 and 50160 is 11.

GCF(50149,50160) = 11

We will now calculate the prime factors of 50149 and 50160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50149 and 50160.

How to find the GCF of 50149 and 50160?

We will first find the prime factorization of 50149 and 50160. After we will calculate the factors of 50149 and 50160 and find the biggest common factor number .

Step-1: Prime Factorization of 50149

Prime factors of 50149 are 11, 47, 97. Prime factorization of 50149 in exponential form is:

50149 = 11¹ × 47¹ × 97¹

Step-2: 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-3: Factors of 50149

List of positive integer factors of 50149 that divides 50149 without a remainder.

1, 11, 47, 97, 517, 1067, 4559

Step-4: Factors of 50160

List of positive integer factors of 50160 that divides 50149 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50149 and 50160. The biggest common factor number is the GCF number.
So the greatest common factor 50149 and 50160 is 11.

Also check out the Least Common Multiple of 50149 and 50160