What is the Greatest Common Factor of 50249 and 50261?

Greatest common factor (GCF) of 50249 and 50261 is 1.

GCF(50249,50261) = 1

We will now calculate the prime factors of 50249 and 50261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50249 and 50261.

How to find the GCF of 50249 and 50261?

We will first find the prime factorization of 50249 and 50261. After we will calculate the factors of 50249 and 50261 and find the biggest common factor number .

Step-1: Prime Factorization of 50249

Prime factors of 50249 are 109, 461. Prime factorization of 50249 in exponential form is:

50249 = 109¹ × 461¹

Step-2: Prime Factorization of 50261

Prime factors of 50261 are 50261. Prime factorization of 50261 in exponential form is:

50261 = 50261¹

Step-3: Factors of 50249

List of positive integer factors of 50249 that divides 50249 without a remainder.

1, 109, 461

Step-4: Factors of 50261

List of positive integer factors of 50261 that divides 50249 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50249 and 50261. The biggest common factor number is the GCF number.
So the greatest common factor 50249 and 50261 is 1.

Also check out the Least Common Multiple of 50249 and 50261