What is the Greatest Common Factor of 50226 and 50237?

Greatest common factor (GCF) of 50226 and 50237 is 11.

GCF(50226,50237) = 11

We will now calculate the prime factors of 50226 and 50237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50226 and 50237.

How to find the GCF of 50226 and 50237?

We will first find the prime factorization of 50226 and 50237. After we will calculate the factors of 50226 and 50237 and find the biggest common factor number .

Step-1: Prime Factorization of 50226

Prime factors of 50226 are 2, 3, 11, 761. Prime factorization of 50226 in exponential form is:

50226 = 2¹ × 3¹ × 11¹ × 761¹

Step-2: Prime Factorization of 50237

Prime factors of 50237 are 11, 4567. Prime factorization of 50237 in exponential form is:

50237 = 11¹ × 4567¹

Step-3: Factors of 50226

List of positive integer factors of 50226 that divides 50226 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 761, 1522, 2283, 4566, 8371, 16742, 25113

Step-4: Factors of 50237

List of positive integer factors of 50237 that divides 50226 without a remainder.

1, 11, 4567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50226 and 50237. The biggest common factor number is the GCF number.
So the greatest common factor 50226 and 50237 is 11.

Also check out the Least Common Multiple of 50226 and 50237