What is the Greatest Common Factor of 95000 and 95017?

Greatest common factor (GCF) of 95000 and 95017 is 1.

GCF(95000,95017) = 1

We will now calculate the prime factors of 95000 and 95017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95000 and 95017.

How to find the GCF of 95000 and 95017?

We will first find the prime factorization of 95000 and 95017. After we will calculate the factors of 95000 and 95017 and find the biggest common factor number .

Step-1: Prime Factorization of 95000

Prime factors of 95000 are 2, 5, 19. Prime factorization of 95000 in exponential form is:

95000 = 2³ × 5⁴ × 19¹

Step-2: Prime Factorization of 95017

Prime factors of 95017 are 13, 7309. Prime factorization of 95017 in exponential form is:

95017 = 13¹ × 7309¹

Step-3: Factors of 95000

List of positive integer factors of 95000 that divides 95000 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 125, 152, 190, 200, 250, 380, 475, 500, 625, 760, 950, 1000, 1250, 1900, 2375, 2500, 3800, 4750, 5000, 9500, 11875, 19000, 23750, 47500

Step-4: Factors of 95017

List of positive integer factors of 95017 that divides 95000 without a remainder.

1, 13, 7309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95000 and 95017. The biggest common factor number is the GCF number.
So the greatest common factor 95000 and 95017 is 1.

Also check out the Least Common Multiple of 95000 and 95017