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What is the Greatest Common Factor of 50305 and 50321?

Greatest common factor (GCF) of 50305 and 50321 is 1.

GCF(50305,50321) = 1

We will now calculate the prime factors of 50305 and 50321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50305 and 50321.

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How to find the GCF of 50305 and 50321?

We will first find the prime factorization of 50305 and 50321. After we will calculate the factors of 50305 and 50321 and find the biggest common factor number .

Step-1: Prime Factorization of 50305

Prime factors of 50305 are 5, 10061. Prime factorization of 50305 in exponential form is:

50305 = 51 × 100611

Step-2: Prime Factorization of 50321

Prime factors of 50321 are 50321. Prime factorization of 50321 in exponential form is:

50321 = 503211

Step-3: Factors of 50305

List of positive integer factors of 50305 that divides 50305 without a remainder.

1, 5, 10061

Step-4: Factors of 50321

List of positive integer factors of 50321 that divides 50305 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50305 and 50321. The biggest common factor number is the GCF number.
So the greatest common factor 50305 and 50321 is 1.

Also check out the Least Common Multiple of 50305 and 50321