What is the Greatest Common Factor of 66982 and 67000?

Greatest common factor (GCF) of 66982 and 67000 is 2.

GCF(66982,67000) = 2

We will now calculate the prime factors of 66982 and 67000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66982 and 67000.

How to find the GCF of 66982 and 67000?

We will first find the prime factorization of 66982 and 67000. After we will calculate the factors of 66982 and 67000 and find the biggest common factor number .

Step-1: Prime Factorization of 66982

Prime factors of 66982 are 2, 107, 313. Prime factorization of 66982 in exponential form is:

66982 = 2¹ × 107¹ × 313¹

Step-2: 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-3: Factors of 66982

List of positive integer factors of 66982 that divides 66982 without a remainder.

1, 2, 107, 214, 313, 626, 33491

Step-4: Factors of 67000

List of positive integer factors of 67000 that divides 66982 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66982 and 67000. The biggest common factor number is the GCF number.
So the greatest common factor 66982 and 67000 is 2.

Also check out the Least Common Multiple of 66982 and 67000