What is the Greatest Common Factor of 50000 and 50014?

Greatest common factor (GCF) of 50000 and 50014 is 2.

GCF(50000,50014) = 2

We will now calculate the prime factors of 50000 and 50014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50000 and 50014.

How to find the GCF of 50000 and 50014?

We will first find the prime factorization of 50000 and 50014. After we will calculate the factors of 50000 and 50014 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 50014

Prime factors of 50014 are 2, 17, 1471. Prime factorization of 50014 in exponential form is:

50014 = 2¹ × 17¹ × 1471¹

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 50014

List of positive integer factors of 50014 that divides 50000 without a remainder.

1, 2, 17, 34, 1471, 2942, 25007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50000 and 50014. The biggest common factor number is the GCF number.
So the greatest common factor 50000 and 50014 is 2.

Also check out the Least Common Multiple of 50000 and 50014