What is the Greatest Common Factor of 74000 and 74017?

Greatest common factor (GCF) of 74000 and 74017 is 1.

GCF(74000,74017) = 1

We will now calculate the prime factors of 74000 and 74017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74000 and 74017.

How to find the GCF of 74000 and 74017?

We will first find the prime factorization of 74000 and 74017. After we will calculate the factors of 74000 and 74017 and find the biggest common factor number .

Step-1: Prime Factorization of 74000

Prime factors of 74000 are 2, 5, 37. Prime factorization of 74000 in exponential form is:

74000 = 2⁴ × 5³ × 37¹

Step-2: Prime Factorization of 74017

Prime factors of 74017 are 74017. Prime factorization of 74017 in exponential form is:

74017 = 74017¹

Step-3: Factors of 74000

List of positive integer factors of 74000 that divides 74000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 37, 40, 50, 74, 80, 100, 125, 148, 185, 200, 250, 296, 370, 400, 500, 592, 740, 925, 1000, 1480, 1850, 2000, 2960, 3700, 4625, 7400, 9250, 14800, 18500, 37000

Step-4: Factors of 74017

List of positive integer factors of 74017 that divides 74000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74000 and 74017. The biggest common factor number is the GCF number.
So the greatest common factor 74000 and 74017 is 1.

Also check out the Least Common Multiple of 74000 and 74017