What is the Greatest Common Factor of 32715 and 32733?

Greatest common factor (GCF) of 32715 and 32733 is 9.

GCF(32715,32733) = 9

We will now calculate the prime factors of 32715 and 32733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32715 and 32733.

How to find the GCF of 32715 and 32733?

We will first find the prime factorization of 32715 and 32733. After we will calculate the factors of 32715 and 32733 and find the biggest common factor number .

Step-1: Prime Factorization of 32715

Prime factors of 32715 are 3, 5, 727. Prime factorization of 32715 in exponential form is:

32715 = 3² × 5¹ × 727¹

Step-2: Prime Factorization of 32733

Prime factors of 32733 are 3, 3637. Prime factorization of 32733 in exponential form is:

32733 = 3² × 3637¹

Step-3: Factors of 32715

List of positive integer factors of 32715 that divides 32715 without a remainder.

1, 3, 5, 9, 15, 45, 727, 2181, 3635, 6543, 10905

Step-4: Factors of 32733

List of positive integer factors of 32733 that divides 32715 without a remainder.

1, 3, 9, 3637, 10911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32715 and 32733. The biggest common factor number is the GCF number.
So the greatest common factor 32715 and 32733 is 9.

Also check out the Least Common Multiple of 32715 and 32733