What is the Greatest Common Factor of 50237 and 50248?

Greatest common factor (GCF) of 50237 and 50248 is 11.

GCF(50237,50248) = 11

We will now calculate the prime factors of 50237 and 50248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50237 and 50248.

How to find the GCF of 50237 and 50248?

We will first find the prime factorization of 50237 and 50248. After we will calculate the factors of 50237 and 50248 and find the biggest common factor number .

Step-1: Prime Factorization of 50237

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

50237 = 11¹ × 4567¹

Step-2: Prime Factorization of 50248

Prime factors of 50248 are 2, 11, 571. Prime factorization of 50248 in exponential form is:

50248 = 2³ × 11¹ × 571¹

Step-3: Factors of 50237

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

1, 11, 4567

Step-4: Factors of 50248

List of positive integer factors of 50248 that divides 50237 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 571, 1142, 2284, 4568, 6281, 12562, 25124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50237 and 50248. The biggest common factor number is the GCF number.
So the greatest common factor 50237 and 50248 is 11.

Also check out the Least Common Multiple of 50237 and 50248