What is the Greatest Common Factor of 50242 and 50256?

Greatest common factor (GCF) of 50242 and 50256 is 2.

GCF(50242,50256) = 2

We will now calculate the prime factors of 50242 and 50256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50242 and 50256.

How to find the GCF of 50242 and 50256?

We will first find the prime factorization of 50242 and 50256. After we will calculate the factors of 50242 and 50256 and find the biggest common factor number .

Step-1: Prime Factorization of 50242

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

50242 = 2¹ × 25121¹

Step-2: Prime Factorization of 50256

Prime factors of 50256 are 2, 3, 349. Prime factorization of 50256 in exponential form is:

50256 = 2⁴ × 3² × 349¹

Step-3: Factors of 50242

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

1, 2, 25121

Step-4: Factors of 50256

List of positive integer factors of 50256 that divides 50242 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 349, 698, 1047, 1396, 2094, 2792, 3141, 4188, 5584, 6282, 8376, 12564, 16752, 25128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50242 and 50256. The biggest common factor number is the GCF number.
So the greatest common factor 50242 and 50256 is 2.

Also check out the Least Common Multiple of 50242 and 50256