What is the Greatest Common Factor of 66974 and 66982?

Greatest common factor (GCF) of 66974 and 66982 is 2.

GCF(66974,66982) = 2

We will now calculate the prime factors of 66974 and 66982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66974 and 66982.

How to find the GCF of 66974 and 66982?

We will first find the prime factorization of 66974 and 66982. After we will calculate the factors of 66974 and 66982 and find the biggest common factor number .

Step-1: Prime Factorization of 66974

Prime factors of 66974 are 2, 33487. Prime factorization of 66974 in exponential form is:

66974 = 2¹ × 33487¹

Step-2: 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-3: Factors of 66974

List of positive integer factors of 66974 that divides 66974 without a remainder.

1, 2, 33487

Step-4: Factors of 66982

List of positive integer factors of 66982 that divides 66974 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66974 and 66982. The biggest common factor number is the GCF number.
So the greatest common factor 66974 and 66982 is 2.

Also check out the Least Common Multiple of 66974 and 66982