What is the Greatest Common Factor of 67647 and 67667?

Greatest common factor (GCF) of 67647 and 67667 is 1.

GCF(67647,67667) = 1

We will now calculate the prime factors of 67647 and 67667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67647 and 67667.

How to find the GCF of 67647 and 67667?

We will first find the prime factorization of 67647 and 67667. After we will calculate the factors of 67647 and 67667 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 67667

Prime factors of 67667 are 157, 431. Prime factorization of 67667 in exponential form is:

67667 = 157¹ × 431¹

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 67667

List of positive integer factors of 67667 that divides 67647 without a remainder.

1, 157, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67647 and 67667. The biggest common factor number is the GCF number.
So the greatest common factor 67647 and 67667 is 1.

Also check out the Least Common Multiple of 67647 and 67667