What is the Greatest Common Factor of 33105 and 33117?

Greatest common factor (GCF) of 33105 and 33117 is 3.

GCF(33105,33117) = 3

We will now calculate the prime factors of 33105 and 33117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33105 and 33117.

How to find the GCF of 33105 and 33117?

We will first find the prime factorization of 33105 and 33117. After we will calculate the factors of 33105 and 33117 and find the biggest common factor number .

Step-1: Prime Factorization of 33105

Prime factors of 33105 are 3, 5, 2207. Prime factorization of 33105 in exponential form is:

33105 = 3¹ × 5¹ × 2207¹

Step-2: Prime Factorization of 33117

Prime factors of 33117 are 3, 7, 19, 83. Prime factorization of 33117 in exponential form is:

33117 = 3¹ × 7¹ × 19¹ × 83¹

Step-3: Factors of 33105

List of positive integer factors of 33105 that divides 33105 without a remainder.

1, 3, 5, 15, 2207, 6621, 11035

Step-4: Factors of 33117

List of positive integer factors of 33117 that divides 33105 without a remainder.

1, 3, 7, 19, 21, 57, 83, 133, 249, 399, 581, 1577, 1743, 4731, 11039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33105 and 33117. The biggest common factor number is the GCF number.
So the greatest common factor 33105 and 33117 is 3.

Also check out the Least Common Multiple of 33105 and 33117