What is the Greatest Common Factor of 50944 and 50960?

Greatest common factor (GCF) of 50944 and 50960 is 16.

GCF(50944,50960) = 16

We will now calculate the prime factors of 50944 and 50960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50944 and 50960.

How to find the GCF of 50944 and 50960?

We will first find the prime factorization of 50944 and 50960. After we will calculate the factors of 50944 and 50960 and find the biggest common factor number .

Step-1: Prime Factorization of 50944

Prime factors of 50944 are 2, 199. Prime factorization of 50944 in exponential form is:

50944 = 2⁸ × 199¹

Step-2: Prime Factorization of 50960

Prime factors of 50960 are 2, 5, 7, 13. Prime factorization of 50960 in exponential form is:

50960 = 2⁴ × 5¹ × 7² × 13¹

Step-3: Factors of 50944

List of positive integer factors of 50944 that divides 50944 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 199, 256, 398, 796, 1592, 3184, 6368, 12736, 25472

Step-4: Factors of 50960

List of positive integer factors of 50960 that divides 50944 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 49, 52, 56, 65, 70, 80, 91, 98, 104, 112, 130, 140, 182, 196, 208, 245, 260, 280, 364, 392, 455, 490, 520, 560, 637, 728, 784, 910, 980, 1040, 1274, 1456, 1820, 1960, 2548, 3185, 3640, 3920, 5096, 6370, 7280, 10192, 12740, 25480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50944 and 50960. The biggest common factor number is the GCF number.
So the greatest common factor 50944 and 50960 is 16.

Also check out the Least Common Multiple of 50944 and 50960