What is the Greatest Common Factor of 50269 and 50281?

Greatest common factor (GCF) of 50269 and 50281 is 1.

GCF(50269,50281) = 1

We will now calculate the prime factors of 50269 and 50281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50269 and 50281.

How to find the GCF of 50269 and 50281?

We will first find the prime factorization of 50269 and 50281. After we will calculate the factors of 50269 and 50281 and find the biggest common factor number .

Step-1: Prime Factorization of 50269

Prime factors of 50269 are 17, 2957. Prime factorization of 50269 in exponential form is:

50269 = 17¹ × 2957¹

Step-2: Prime Factorization of 50281

Prime factors of 50281 are 7, 11, 653. Prime factorization of 50281 in exponential form is:

50281 = 7¹ × 11¹ × 653¹

Step-3: Factors of 50269

List of positive integer factors of 50269 that divides 50269 without a remainder.

1, 17, 2957

Step-4: Factors of 50281

List of positive integer factors of 50281 that divides 50269 without a remainder.

1, 7, 11, 77, 653, 4571, 7183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50269 and 50281. The biggest common factor number is the GCF number.
So the greatest common factor 50269 and 50281 is 1.

Also check out the Least Common Multiple of 50269 and 50281