What is the Greatest Common Factor of 50269 and 50282?

Greatest common factor (GCF) of 50269 and 50282 is 1.

GCF(50269,50282) = 1

We will now calculate the prime factors of 50269 and 50282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50269 and 50282.

How to find the GCF of 50269 and 50282?

We will first find the prime factorization of 50269 and 50282. After we will calculate the factors of 50269 and 50282 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 50282

Prime factors of 50282 are 2, 31, 811. Prime factorization of 50282 in exponential form is:

50282 = 2¹ × 31¹ × 811¹

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 50282

List of positive integer factors of 50282 that divides 50269 without a remainder.

1, 2, 31, 62, 811, 1622, 25141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50269 and 50282. The biggest common factor number is the GCF number.
So the greatest common factor 50269 and 50282 is 1.

Also check out the Least Common Multiple of 50269 and 50282