What is the Greatest Common Factor of 50144 and 50160?

Greatest common factor (GCF) of 50144 and 50160 is 16.

GCF(50144,50160) = 16

We will now calculate the prime factors of 50144 and 50160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50144 and 50160.

How to find the GCF of 50144 and 50160?

We will first find the prime factorization of 50144 and 50160. After we will calculate the factors of 50144 and 50160 and find the biggest common factor number .

Step-1: Prime Factorization of 50144

Prime factors of 50144 are 2, 1567. Prime factorization of 50144 in exponential form is:

50144 = 2⁵ × 1567¹

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 50144

List of positive integer factors of 50144 that divides 50144 without a remainder.

1, 2, 4, 8, 16, 32, 1567, 3134, 6268, 12536, 25072

Step-4: Factors of 50160

List of positive integer factors of 50160 that divides 50144 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 50144 and 50160. The biggest common factor number is the GCF number.
So the greatest common factor 50144 and 50160 is 16.

Also check out the Least Common Multiple of 50144 and 50160