What is the Greatest Common Factor of 50960 and 50973?

Greatest common factor (GCF) of 50960 and 50973 is 13.

GCF(50960,50973) = 13

We will now calculate the prime factors of 50960 and 50973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50960 and 50973.

How to find the GCF of 50960 and 50973?

We will first find the prime factorization of 50960 and 50973. After we will calculate the factors of 50960 and 50973 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 50973

Prime factors of 50973 are 3, 13, 1307. Prime factorization of 50973 in exponential form is:

50973 = 3¹ × 13¹ × 1307¹

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 50973

List of positive integer factors of 50973 that divides 50960 without a remainder.

1, 3, 13, 39, 1307, 3921, 16991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50960 and 50973. The biggest common factor number is the GCF number.
So the greatest common factor 50960 and 50973 is 13.

Also check out the Least Common Multiple of 50960 and 50973