What is the Greatest Common Factor of 32973 and 32985?

Greatest common factor (GCF) of 32973 and 32985 is 3.

GCF(32973,32985) = 3

We will now calculate the prime factors of 32973 and 32985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32973 and 32985.

How to find the GCF of 32973 and 32985?

We will first find the prime factorization of 32973 and 32985. After we will calculate the factors of 32973 and 32985 and find the biggest common factor number .

Step-1: Prime Factorization of 32973

Prime factors of 32973 are 3, 29, 379. Prime factorization of 32973 in exponential form is:

32973 = 3¹ × 29¹ × 379¹

Step-2: 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-3: Factors of 32973

List of positive integer factors of 32973 that divides 32973 without a remainder.

1, 3, 29, 87, 379, 1137, 10991

Step-4: Factors of 32985

List of positive integer factors of 32985 that divides 32973 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32973 and 32985. The biggest common factor number is the GCF number.
So the greatest common factor 32973 and 32985 is 3.

Also check out the Least Common Multiple of 32973 and 32985