What is the Greatest Common Factor of 60000 and 60017?

Greatest common factor (GCF) of 60000 and 60017 is 1.

GCF(60000,60017) = 1

We will now calculate the prime factors of 60000 and 60017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60000 and 60017.

How to find the GCF of 60000 and 60017?

We will first find the prime factorization of 60000 and 60017. After we will calculate the factors of 60000 and 60017 and find the biggest common factor number .

Step-1: Prime Factorization of 60000

Prime factors of 60000 are 2, 3, 5. Prime factorization of 60000 in exponential form is:

60000 = 2⁵ × 3¹ × 5⁴

Step-2: Prime Factorization of 60017

Prime factors of 60017 are 60017. Prime factorization of 60017 in exponential form is:

60017 = 60017¹

Step-3: Factors of 60000

List of positive integer factors of 60000 that divides 60000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000

Step-4: Factors of 60017

List of positive integer factors of 60017 that divides 60000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60000 and 60017. The biggest common factor number is the GCF number.
So the greatest common factor 60000 and 60017 is 1.

Also check out the Least Common Multiple of 60000 and 60017