What is the Greatest Common Factor of 66651 and 66666?

Greatest common factor (GCF) of 66651 and 66666 is 3.

GCF(66651,66666) = 3

We will now calculate the prime factors of 66651 and 66666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66651 and 66666.

How to find the GCF of 66651 and 66666?

We will first find the prime factorization of 66651 and 66666. After we will calculate the factors of 66651 and 66666 and find the biggest common factor number .

Step-1: Prime Factorization of 66651

Prime factors of 66651 are 3, 13, 1709. Prime factorization of 66651 in exponential form is:

66651 = 3¹ × 13¹ × 1709¹

Step-2: Prime Factorization of 66666

Prime factors of 66666 are 2, 3, 41, 271. Prime factorization of 66666 in exponential form is:

66666 = 2¹ × 3¹ × 41¹ × 271¹

Step-3: Factors of 66651

List of positive integer factors of 66651 that divides 66651 without a remainder.

1, 3, 13, 39, 1709, 5127, 22217

Step-4: Factors of 66666

List of positive integer factors of 66666 that divides 66651 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 271, 542, 813, 1626, 11111, 22222, 33333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66651 and 66666. The biggest common factor number is the GCF number.
So the greatest common factor 66651 and 66666 is 3.

Also check out the Least Common Multiple of 66651 and 66666