What is the Greatest Common Factor of 32667 and 32679?

Greatest common factor (GCF) of 32667 and 32679 is 3.

GCF(32667,32679) = 3

We will now calculate the prime factors of 32667 and 32679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32667 and 32679.

How to find the GCF of 32667 and 32679?

We will first find the prime factorization of 32667 and 32679. After we will calculate the factors of 32667 and 32679 and find the biggest common factor number .

Step-1: Prime Factorization of 32667

Prime factors of 32667 are 3, 10889. Prime factorization of 32667 in exponential form is:

32667 = 3¹ × 10889¹

Step-2: Prime Factorization of 32679

Prime factors of 32679 are 3, 3631. Prime factorization of 32679 in exponential form is:

32679 = 3² × 3631¹

Step-3: Factors of 32667

List of positive integer factors of 32667 that divides 32667 without a remainder.

1, 3, 10889

Step-4: Factors of 32679

List of positive integer factors of 32679 that divides 32667 without a remainder.

1, 3, 9, 3631, 10893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32667 and 32679. The biggest common factor number is the GCF number.
So the greatest common factor 32667 and 32679 is 3.

Also check out the Least Common Multiple of 32667 and 32679