What is the Greatest Common Factor of 94000 and 94015?

Greatest common factor (GCF) of 94000 and 94015 is 5.

GCF(94000,94015) = 5

We will now calculate the prime factors of 94000 and 94015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94000 and 94015.

How to find the GCF of 94000 and 94015?

We will first find the prime factorization of 94000 and 94015. After we will calculate the factors of 94000 and 94015 and find the biggest common factor number .

Step-1: Prime Factorization of 94000

Prime factors of 94000 are 2, 5, 47. Prime factorization of 94000 in exponential form is:

94000 = 2⁴ × 5³ × 47¹

Step-2: Prime Factorization of 94015

Prime factors of 94015 are 5, 18803. Prime factorization of 94015 in exponential form is:

94015 = 5¹ × 18803¹

Step-3: Factors of 94000

List of positive integer factors of 94000 that divides 94000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 47, 50, 80, 94, 100, 125, 188, 200, 235, 250, 376, 400, 470, 500, 752, 940, 1000, 1175, 1880, 2000, 2350, 3760, 4700, 5875, 9400, 11750, 18800, 23500, 47000

Step-4: Factors of 94015

List of positive integer factors of 94015 that divides 94000 without a remainder.

1, 5, 18803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94000 and 94015. The biggest common factor number is the GCF number.
So the greatest common factor 94000 and 94015 is 5.

Also check out the Least Common Multiple of 94000 and 94015