What is the Greatest Common Factor of 50958 and 50977?

Greatest common factor (GCF) of 50958 and 50977 is 19.

GCF(50958,50977) = 19

We will now calculate the prime factors of 50958 and 50977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50958 and 50977.

How to find the GCF of 50958 and 50977?

We will first find the prime factorization of 50958 and 50977. After we will calculate the factors of 50958 and 50977 and find the biggest common factor number .

Step-1: Prime Factorization of 50958

Prime factors of 50958 are 2, 3, 19, 149. Prime factorization of 50958 in exponential form is:

50958 = 2¹ × 3² × 19¹ × 149¹

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 50958

List of positive integer factors of 50958 that divides 50958 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 149, 171, 298, 342, 447, 894, 1341, 2682, 2831, 5662, 8493, 16986, 25479

Step-4: Factors of 50977

List of positive integer factors of 50977 that divides 50958 without a remainder.

1, 19, 2683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50958 and 50977. The biggest common factor number is the GCF number.
So the greatest common factor 50958 and 50977 is 19.

Also check out the Least Common Multiple of 50958 and 50977