What is the Greatest Common Factor of 50977 and 50996?

Greatest common factor (GCF) of 50977 and 50996 is 19.

GCF(50977,50996) = 19

We will now calculate the prime factors of 50977 and 50996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50977 and 50996.

How to find the GCF of 50977 and 50996?

We will first find the prime factorization of 50977 and 50996. After we will calculate the factors of 50977 and 50996 and find the biggest common factor number .

Step-1: Prime Factorization of 50977

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

50977 = 19¹ × 2683¹

Step-2: Prime Factorization of 50996

Prime factors of 50996 are 2, 11, 19, 61. Prime factorization of 50996 in exponential form is:

50996 = 2² × 11¹ × 19¹ × 61¹

Step-3: Factors of 50977

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

1, 19, 2683

Step-4: Factors of 50996

List of positive integer factors of 50996 that divides 50977 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 61, 76, 122, 209, 244, 418, 671, 836, 1159, 1342, 2318, 2684, 4636, 12749, 25498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50977 and 50996. The biggest common factor number is the GCF number.
So the greatest common factor 50977 and 50996 is 19.

Also check out the Least Common Multiple of 50977 and 50996