What is the Greatest Common Factor of 50005 and 50024?

Greatest common factor (GCF) of 50005 and 50024 is 1.

GCF(50005,50024) = 1

We will now calculate the prime factors of 50005 and 50024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50005 and 50024.

How to find the GCF of 50005 and 50024?

We will first find the prime factorization of 50005 and 50024. After we will calculate the factors of 50005 and 50024 and find the biggest common factor number .

Step-1: Prime Factorization of 50005

Prime factors of 50005 are 5, 73, 137. Prime factorization of 50005 in exponential form is:

50005 = 5¹ × 73¹ × 137¹

Step-2: Prime Factorization of 50024

Prime factors of 50024 are 2, 13, 37. Prime factorization of 50024 in exponential form is:

50024 = 2³ × 13² × 37¹

Step-3: Factors of 50005

List of positive integer factors of 50005 that divides 50005 without a remainder.

1, 5, 73, 137, 365, 685, 10001

Step-4: Factors of 50024

List of positive integer factors of 50024 that divides 50005 without a remainder.

1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 169, 296, 338, 481, 676, 962, 1352, 1924, 3848, 6253, 12506, 25012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50005 and 50024. The biggest common factor number is the GCF number.
So the greatest common factor 50005 and 50024 is 1.

Also check out the Least Common Multiple of 50005 and 50024