What is the Greatest Common Factor of 50960 and 50977?

Greatest common factor (GCF) of 50960 and 50977 is 1.

GCF(50960,50977) = 1

We will now calculate the prime factors of 50960 and 50977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50960 and 50977.

How to find the GCF of 50960 and 50977?

We will first find the prime factorization of 50960 and 50977. After we will calculate the factors of 50960 and 50977 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 50977

Prime factors of 50977 are 19, 2683. Prime factorization of 50977 in exponential form is:

50977 = 19¹ × 2683¹

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 50977

List of positive integer factors of 50977 that divides 50960 without a remainder.

1, 19, 2683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50960 and 50977. The biggest common factor number is the GCF number.
So the greatest common factor 50960 and 50977 is 1.

Also check out the Least Common Multiple of 50960 and 50977