What is the Greatest Common Factor of 67000 and 67016?

Greatest common factor (GCF) of 67000 and 67016 is 8.

GCF(67000,67016) = 8

We will now calculate the prime factors of 67000 and 67016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67000 and 67016.

How to find the GCF of 67000 and 67016?

We will first find the prime factorization of 67000 and 67016. After we will calculate the factors of 67000 and 67016 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 67016

Prime factors of 67016 are 2, 8377. Prime factorization of 67016 in exponential form is:

67016 = 2³ × 8377¹

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 67016

List of positive integer factors of 67016 that divides 67000 without a remainder.

1, 2, 4, 8, 8377, 16754, 33508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67000 and 67016. The biggest common factor number is the GCF number.
So the greatest common factor 67000 and 67016 is 8.

Also check out the Least Common Multiple of 67000 and 67016