What is the Greatest Common Factor of 67000 and 67017?

Greatest common factor (GCF) of 67000 and 67017 is 1.

GCF(67000,67017) = 1

We will now calculate the prime factors of 67000 and 67017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67000 and 67017.

How to find the GCF of 67000 and 67017?

We will first find the prime factorization of 67000 and 67017. After we will calculate the factors of 67000 and 67017 and find the biggest common factor number .

Step-1: Prime Factorization of 67000

Prime factors of 67000 are 2, 5, 67. Prime factorization of 67000 in exponential form is:

67000 = 2³ × 5³ × 67¹

Step-2: Prime Factorization of 67017

Prime factors of 67017 are 3, 89, 251. Prime factorization of 67017 in exponential form is:

67017 = 3¹ × 89¹ × 251¹

Step-3: Factors of 67000

List of positive integer factors of 67000 that divides 67000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 67, 100, 125, 134, 200, 250, 268, 335, 500, 536, 670, 1000, 1340, 1675, 2680, 3350, 6700, 8375, 13400, 16750, 33500

Step-4: Factors of 67017

List of positive integer factors of 67017 that divides 67000 without a remainder.

1, 3, 89, 251, 267, 753, 22339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67000 and 67017. The biggest common factor number is the GCF number.
So the greatest common factor 67000 and 67017 is 1.

Also check out the Least Common Multiple of 67000 and 67017