What is the Greatest Common Factor of 50257 and 50265?

Greatest common factor (GCF) of 50257 and 50265 is 1.

GCF(50257,50265) = 1

We will now calculate the prime factors of 50257 and 50265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50257 and 50265.

How to find the GCF of 50257 and 50265?

We will first find the prime factorization of 50257 and 50265. After we will calculate the factors of 50257 and 50265 and find the biggest common factor number .

Step-1: Prime Factorization of 50257

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

50257 = 29¹ × 1733¹

Step-2: Prime Factorization of 50265

Prime factors of 50265 are 3, 5, 1117. Prime factorization of 50265 in exponential form is:

50265 = 3² × 5¹ × 1117¹

Step-3: Factors of 50257

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

1, 29, 1733

Step-4: Factors of 50265

List of positive integer factors of 50265 that divides 50257 without a remainder.

1, 3, 5, 9, 15, 45, 1117, 3351, 5585, 10053, 16755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50257 and 50265. The biggest common factor number is the GCF number.
So the greatest common factor 50257 and 50265 is 1.

Also check out the Least Common Multiple of 50257 and 50265