What is the Greatest Common Factor of 67000 and 67012?

Greatest common factor (GCF) of 67000 and 67012 is 4.

GCF(67000,67012) = 4

We will now calculate the prime factors of 67000 and 67012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67000 and 67012.

How to find the GCF of 67000 and 67012?

We will first find the prime factorization of 67000 and 67012. After we will calculate the factors of 67000 and 67012 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 67012

Prime factors of 67012 are 2, 11, 1523. Prime factorization of 67012 in exponential form is:

67012 = 2² × 11¹ × 1523¹

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 67012

List of positive integer factors of 67012 that divides 67000 without a remainder.

1, 2, 4, 11, 22, 44, 1523, 3046, 6092, 16753, 33506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67000 and 67012. The biggest common factor number is the GCF number.
So the greatest common factor 67000 and 67012 is 4.

Also check out the Least Common Multiple of 67000 and 67012