What is the Greatest Common Factor of 66982 and 67002?

Greatest common factor (GCF) of 66982 and 67002 is 2.

GCF(66982,67002) = 2

We will now calculate the prime factors of 66982 and 67002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66982 and 67002.

How to find the GCF of 66982 and 67002?

We will first find the prime factorization of 66982 and 67002. After we will calculate the factors of 66982 and 67002 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 67002

Prime factors of 67002 are 2, 3, 13, 859. Prime factorization of 67002 in exponential form is:

67002 = 2¹ × 3¹ × 13¹ × 859¹

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 67002

List of positive integer factors of 67002 that divides 66982 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 859, 1718, 2577, 5154, 11167, 22334, 33501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66982 and 67002. The biggest common factor number is the GCF number.
So the greatest common factor 66982 and 67002 is 2.

Also check out the Least Common Multiple of 66982 and 67002