What is the Greatest Common Factor of 66674 and 66682?

Greatest common factor (GCF) of 66674 and 66682 is 2.

GCF(66674,66682) = 2

We will now calculate the prime factors of 66674 and 66682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66674 and 66682.

How to find the GCF of 66674 and 66682?

We will first find the prime factorization of 66674 and 66682. After we will calculate the factors of 66674 and 66682 and find the biggest common factor number .

Step-1: Prime Factorization of 66674

Prime factors of 66674 are 2, 17, 37, 53. Prime factorization of 66674 in exponential form is:

66674 = 2¹ × 17¹ × 37¹ × 53¹

Step-2: Prime Factorization of 66682

Prime factors of 66682 are 2, 7, 11, 433. Prime factorization of 66682 in exponential form is:

66682 = 2¹ × 7¹ × 11¹ × 433¹

Step-3: Factors of 66674

List of positive integer factors of 66674 that divides 66674 without a remainder.

1, 2, 17, 34, 37, 53, 74, 106, 629, 901, 1258, 1802, 1961, 3922, 33337

Step-4: Factors of 66682

List of positive integer factors of 66682 that divides 66674 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 433, 866, 3031, 4763, 6062, 9526, 33341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66674 and 66682. The biggest common factor number is the GCF number.
So the greatest common factor 66674 and 66682 is 2.

Also check out the Least Common Multiple of 66674 and 66682