What is the Greatest Common Factor of 50305 and 50324?

Greatest common factor (GCF) of 50305 and 50324 is 1.

GCF(50305,50324) = 1

We will now calculate the prime factors of 50305 and 50324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50305 and 50324.

How to find the GCF of 50305 and 50324?

We will first find the prime factorization of 50305 and 50324. After we will calculate the factors of 50305 and 50324 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 50324

Prime factors of 50324 are 2, 23, 547. Prime factorization of 50324 in exponential form is:

50324 = 2² × 23¹ × 547¹

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 50324

List of positive integer factors of 50324 that divides 50305 without a remainder.

1, 2, 4, 23, 46, 92, 547, 1094, 2188, 12581, 25162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50305 and 50324. The biggest common factor number is the GCF number.
So the greatest common factor 50305 and 50324 is 1.

Also check out the Least Common Multiple of 50305 and 50324