What is the Greatest Common Factor of 50000 and 50009?

Greatest common factor (GCF) of 50000 and 50009 is 1.

GCF(50000,50009) = 1

We will now calculate the prime factors of 50000 and 50009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50000 and 50009.

How to find the GCF of 50000 and 50009?

We will first find the prime factorization of 50000 and 50009. After we will calculate the factors of 50000 and 50009 and find the biggest common factor number .

Step-1: Prime Factorization of 50000

Prime factors of 50000 are 2, 5. Prime factorization of 50000 in exponential form is:

50000 = 2⁴ × 5⁵

Step-2: Prime Factorization of 50009

Prime factors of 50009 are 43, 1163. Prime factorization of 50009 in exponential form is:

50009 = 43¹ × 1163¹

Step-3: Factors of 50000

List of positive integer factors of 50000 that divides 50000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 3125, 5000, 6250, 10000, 12500, 25000

Step-4: Factors of 50009

List of positive integer factors of 50009 that divides 50000 without a remainder.

1, 43, 1163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50000 and 50009. The biggest common factor number is the GCF number.
So the greatest common factor 50000 and 50009 is 1.

Also check out the Least Common Multiple of 50000 and 50009