What is the Greatest Common Factor of 32985 and 33003?

Greatest common factor (GCF) of 32985 and 33003 is 9.

GCF(32985,33003) = 9

We will now calculate the prime factors of 32985 and 33003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32985 and 33003.

How to find the GCF of 32985 and 33003?

We will first find the prime factorization of 32985 and 33003. After we will calculate the factors of 32985 and 33003 and find the biggest common factor number .

Step-1: Prime Factorization of 32985

Prime factors of 32985 are 3, 5, 733. Prime factorization of 32985 in exponential form is:

32985 = 3² × 5¹ × 733¹

Step-2: Prime Factorization of 33003

Prime factors of 33003 are 3, 19, 193. Prime factorization of 33003 in exponential form is:

33003 = 3² × 19¹ × 193¹

Step-3: Factors of 32985

List of positive integer factors of 32985 that divides 32985 without a remainder.

1, 3, 5, 9, 15, 45, 733, 2199, 3665, 6597, 10995

Step-4: Factors of 33003

List of positive integer factors of 33003 that divides 32985 without a remainder.

1, 3, 9, 19, 57, 171, 193, 579, 1737, 3667, 11001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32985 and 33003. The biggest common factor number is the GCF number.
So the greatest common factor 32985 and 33003 is 9.

Also check out the Least Common Multiple of 32985 and 33003