What is the Greatest Common Factor of 50217 and 50236?

Greatest common factor (GCF) of 50217 and 50236 is 19.

GCF(50217,50236) = 19

We will now calculate the prime factors of 50217 and 50236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50217 and 50236.

How to find the GCF of 50217 and 50236?

We will first find the prime factorization of 50217 and 50236. After we will calculate the factors of 50217 and 50236 and find the biggest common factor number .

Step-1: Prime Factorization of 50217

Prime factors of 50217 are 3, 19, 881. Prime factorization of 50217 in exponential form is:

50217 = 3¹ × 19¹ × 881¹

Step-2: Prime Factorization of 50236

Prime factors of 50236 are 2, 19, 661. Prime factorization of 50236 in exponential form is:

50236 = 2² × 19¹ × 661¹

Step-3: Factors of 50217

List of positive integer factors of 50217 that divides 50217 without a remainder.

1, 3, 19, 57, 881, 2643, 16739

Step-4: Factors of 50236

List of positive integer factors of 50236 that divides 50217 without a remainder.

1, 2, 4, 19, 38, 76, 661, 1322, 2644, 12559, 25118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50217 and 50236. The biggest common factor number is the GCF number.
So the greatest common factor 50217 and 50236 is 19.

Also check out the Least Common Multiple of 50217 and 50236