What is the Greatest Common Factor of 50249 and 50262?

Greatest common factor (GCF) of 50249 and 50262 is 1.

GCF(50249,50262) = 1

We will now calculate the prime factors of 50249 and 50262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50249 and 50262.

How to find the GCF of 50249 and 50262?

We will first find the prime factorization of 50249 and 50262. After we will calculate the factors of 50249 and 50262 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 50262

Prime factors of 50262 are 2, 3, 8377. Prime factorization of 50262 in exponential form is:

50262 = 2¹ × 3¹ × 8377¹

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 50262

List of positive integer factors of 50262 that divides 50249 without a remainder.

1, 2, 3, 6, 8377, 16754, 25131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50249 and 50262. The biggest common factor number is the GCF number.
So the greatest common factor 50249 and 50262 is 1.

Also check out the Least Common Multiple of 50249 and 50262