What is the Greatest Common Factor of 50250 and 50257?

Greatest common factor (GCF) of 50250 and 50257 is 1.

GCF(50250,50257) = 1

We will now calculate the prime factors of 50250 and 50257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50250 and 50257.

How to find the GCF of 50250 and 50257?

We will first find the prime factorization of 50250 and 50257. After we will calculate the factors of 50250 and 50257 and find the biggest common factor number .

Step-1: Prime Factorization of 50250

Prime factors of 50250 are 2, 3, 5, 67. Prime factorization of 50250 in exponential form is:

50250 = 2¹ × 3¹ × 5³ × 67¹

Step-2: Prime Factorization of 50257

Prime factors of 50257 are 29, 1733. Prime factorization of 50257 in exponential form is:

50257 = 29¹ × 1733¹

Step-3: Factors of 50250

List of positive integer factors of 50250 that divides 50250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 67, 75, 125, 134, 150, 201, 250, 335, 375, 402, 670, 750, 1005, 1675, 2010, 3350, 5025, 8375, 10050, 16750, 25125

Step-4: Factors of 50257

List of positive integer factors of 50257 that divides 50250 without a remainder.

1, 29, 1733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50250 and 50257. The biggest common factor number is the GCF number.
So the greatest common factor 50250 and 50257 is 1.

Also check out the Least Common Multiple of 50250 and 50257