What is the Greatest Common Factor of 50901 and 50919?

Greatest common factor (GCF) of 50901 and 50919 is 3.

GCF(50901,50919) = 3

We will now calculate the prime factors of 50901 and 50919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50901 and 50919.

How to find the GCF of 50901 and 50919?

We will first find the prime factorization of 50901 and 50919. After we will calculate the factors of 50901 and 50919 and find the biggest common factor number .

Step-1: Prime Factorization of 50901

Prime factors of 50901 are 3, 19, 47. Prime factorization of 50901 in exponential form is:

50901 = 3¹ × 19² × 47¹

Step-2: Prime Factorization of 50919

Prime factors of 50919 are 3, 11, 1543. Prime factorization of 50919 in exponential form is:

50919 = 3¹ × 11¹ × 1543¹

Step-3: Factors of 50901

List of positive integer factors of 50901 that divides 50901 without a remainder.

1, 3, 19, 47, 57, 141, 361, 893, 1083, 2679, 16967

Step-4: Factors of 50919

List of positive integer factors of 50919 that divides 50901 without a remainder.

1, 3, 11, 33, 1543, 4629, 16973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50901 and 50919. The biggest common factor number is the GCF number.
So the greatest common factor 50901 and 50919 is 3.

Also check out the Least Common Multiple of 50901 and 50919