What is the Greatest Common Factor of 67000 and 67018?

Greatest common factor (GCF) of 67000 and 67018 is 2.

GCF(67000,67018) = 2

We will now calculate the prime factors of 67000 and 67018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67000 and 67018.

How to find the GCF of 67000 and 67018?

We will first find the prime factorization of 67000 and 67018. After we will calculate the factors of 67000 and 67018 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 67018

Prime factors of 67018 are 2, 7, 4787. Prime factorization of 67018 in exponential form is:

67018 = 2¹ × 7¹ × 4787¹

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 67018

List of positive integer factors of 67018 that divides 67000 without a remainder.

1, 2, 7, 14, 4787, 9574, 33509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67000 and 67018. The biggest common factor number is the GCF number.
So the greatest common factor 67000 and 67018 is 2.

Also check out the Least Common Multiple of 67000 and 67018