What is the Greatest Common Factor of 50960 and 50966?

Greatest common factor (GCF) of 50960 and 50966 is 2.

GCF(50960,50966) = 2

We will now calculate the prime factors of 50960 and 50966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50960 and 50966.

How to find the GCF of 50960 and 50966?

We will first find the prime factorization of 50960 and 50966. After we will calculate the factors of 50960 and 50966 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50966

Prime factors of 50966 are 2, 17, 1499. Prime factorization of 50966 in exponential form is:

50966 = 2¹ × 17¹ × 1499¹

Step-3: Factors of 50960

List of positive integer factors of 50960 that divides 50960 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

Step-4: Factors of 50966

List of positive integer factors of 50966 that divides 50960 without a remainder.

1, 2, 17, 34, 1499, 2998, 25483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50960 and 50966. The biggest common factor number is the GCF number.
So the greatest common factor 50960 and 50966 is 2.

Also check out the Least Common Multiple of 50960 and 50966