What is the Greatest Common Factor of 33945 and 33963?

Greatest common factor (GCF) of 33945 and 33963 is 3.

GCF(33945,33963) = 3

We will now calculate the prime factors of 33945 and 33963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33945 and 33963.

How to find the GCF of 33945 and 33963?

We will first find the prime factorization of 33945 and 33963. After we will calculate the factors of 33945 and 33963 and find the biggest common factor number .

Step-1: Prime Factorization of 33945

Prime factors of 33945 are 3, 5, 31, 73. Prime factorization of 33945 in exponential form is:

33945 = 3¹ × 5¹ × 31¹ × 73¹

Step-2: Prime Factorization of 33963

Prime factors of 33963 are 3, 11321. Prime factorization of 33963 in exponential form is:

33963 = 3¹ × 11321¹

Step-3: Factors of 33945

List of positive integer factors of 33945 that divides 33945 without a remainder.

1, 3, 5, 15, 31, 73, 93, 155, 219, 365, 465, 1095, 2263, 6789, 11315

Step-4: Factors of 33963

List of positive integer factors of 33963 that divides 33945 without a remainder.

1, 3, 11321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33945 and 33963. The biggest common factor number is the GCF number.
So the greatest common factor 33945 and 33963 is 3.

Also check out the Least Common Multiple of 33945 and 33963