What is the Greatest Common Factor of 32991 and 33009?

Greatest common factor (GCF) of 32991 and 33009 is 3.

GCF(32991,33009) = 3

We will now calculate the prime factors of 32991 and 33009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32991 and 33009.

How to find the GCF of 32991 and 33009?

We will first find the prime factorization of 32991 and 33009. After we will calculate the factors of 32991 and 33009 and find the biggest common factor number .

Step-1: Prime Factorization of 32991

Prime factors of 32991 are 3, 7, 1571. Prime factorization of 32991 in exponential form is:

32991 = 3¹ × 7¹ × 1571¹

Step-2: Prime Factorization of 33009

Prime factors of 33009 are 3, 11003. Prime factorization of 33009 in exponential form is:

33009 = 3¹ × 11003¹

Step-3: Factors of 32991

List of positive integer factors of 32991 that divides 32991 without a remainder.

1, 3, 7, 21, 1571, 4713, 10997

Step-4: Factors of 33009

List of positive integer factors of 33009 that divides 32991 without a remainder.

1, 3, 11003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32991 and 33009. The biggest common factor number is the GCF number.
So the greatest common factor 32991 and 33009 is 3.

Also check out the Least Common Multiple of 32991 and 33009