What is the Greatest Common Factor of 50000 and 50007?

Greatest common factor (GCF) of 50000 and 50007 is 1.

GCF(50000,50007) = 1

We will now calculate the prime factors of 50000 and 50007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50000 and 50007.

How to find the GCF of 50000 and 50007?

We will first find the prime factorization of 50000 and 50007. After we will calculate the factors of 50000 and 50007 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 50007

Prime factors of 50007 are 3, 79, 211. Prime factorization of 50007 in exponential form is:

50007 = 3¹ × 79¹ × 211¹

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 50007

List of positive integer factors of 50007 that divides 50000 without a remainder.

1, 3, 79, 211, 237, 633, 16669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50000 and 50007. The biggest common factor number is the GCF number.
So the greatest common factor 50000 and 50007 is 1.

Also check out the Least Common Multiple of 50000 and 50007