What is the Greatest Common Factor of 66671 and 66682?

Greatest common factor (GCF) of 66671 and 66682 is 11.

GCF(66671,66682) = 11

We will now calculate the prime factors of 66671 and 66682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66671 and 66682.

How to find the GCF of 66671 and 66682?

We will first find the prime factorization of 66671 and 66682. After we will calculate the factors of 66671 and 66682 and find the biggest common factor number .

Step-1: Prime Factorization of 66671

Prime factors of 66671 are 11, 19, 29. Prime factorization of 66671 in exponential form is:

66671 = 11² × 19¹ × 29¹

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 66671

List of positive integer factors of 66671 that divides 66671 without a remainder.

1, 11, 19, 29, 121, 209, 319, 551, 2299, 3509, 6061

Step-4: Factors of 66682

List of positive integer factors of 66682 that divides 66671 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 66671 and 66682. The biggest common factor number is the GCF number.
So the greatest common factor 66671 and 66682 is 11.

Also check out the Least Common Multiple of 66671 and 66682