What is the Greatest Common Factor of 50236 and 50242?

Greatest common factor (GCF) of 50236 and 50242 is 2.

GCF(50236,50242) = 2

We will now calculate the prime factors of 50236 and 50242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50236 and 50242.

How to find the GCF of 50236 and 50242?

We will first find the prime factorization of 50236 and 50242. After we will calculate the factors of 50236 and 50242 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50242

Prime factors of 50242 are 2, 25121. Prime factorization of 50242 in exponential form is:

50242 = 2¹ × 25121¹

Step-3: Factors of 50236

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

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

Step-4: Factors of 50242

List of positive integer factors of 50242 that divides 50236 without a remainder.

1, 2, 25121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50236 and 50242. The biggest common factor number is the GCF number.
So the greatest common factor 50236 and 50242 is 2.

Also check out the Least Common Multiple of 50236 and 50242