What is the Greatest Common Factor of 67647 and 67666?

Greatest common factor (GCF) of 67647 and 67666 is 1.

GCF(67647,67666) = 1

We will now calculate the prime factors of 67647 and 67666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67647 and 67666.

How to find the GCF of 67647 and 67666?

We will first find the prime factorization of 67647 and 67666. After we will calculate the factors of 67647 and 67666 and find the biggest common factor number .

Step-1: Prime Factorization of 67647

Prime factors of 67647 are 3, 22549. Prime factorization of 67647 in exponential form is:

67647 = 3¹ × 22549¹

Step-2: Prime Factorization of 67666

Prime factors of 67666 are 2, 23, 1471. Prime factorization of 67666 in exponential form is:

67666 = 2¹ × 23¹ × 1471¹

Step-3: Factors of 67647

List of positive integer factors of 67647 that divides 67647 without a remainder.

1, 3, 22549

Step-4: Factors of 67666

List of positive integer factors of 67666 that divides 67647 without a remainder.

1, 2, 23, 46, 1471, 2942, 33833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67647 and 67666. The biggest common factor number is the GCF number.
So the greatest common factor 67647 and 67666 is 1.

Also check out the Least Common Multiple of 67647 and 67666