What is the Greatest Common Factor of 33116 and 33129?

Greatest common factor (GCF) of 33116 and 33129 is 1.

GCF(33116,33129) = 1

We will now calculate the prime factors of 33116 and 33129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33116 and 33129.

How to find the GCF of 33116 and 33129?

We will first find the prime factorization of 33116 and 33129. After we will calculate the factors of 33116 and 33129 and find the biggest common factor number .

Step-1: Prime Factorization of 33116

Prime factors of 33116 are 2, 17, 487. Prime factorization of 33116 in exponential form is:

33116 = 2² × 17¹ × 487¹

Step-2: Prime Factorization of 33129

Prime factors of 33129 are 3, 409. Prime factorization of 33129 in exponential form is:

33129 = 3⁴ × 409¹

Step-3: Factors of 33116

List of positive integer factors of 33116 that divides 33116 without a remainder.

1, 2, 4, 17, 34, 68, 487, 974, 1948, 8279, 16558

Step-4: Factors of 33129

List of positive integer factors of 33129 that divides 33116 without a remainder.

1, 3, 9, 27, 81, 409, 1227, 3681, 11043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33116 and 33129. The biggest common factor number is the GCF number.
So the greatest common factor 33116 and 33129 is 1.

Also check out the Least Common Multiple of 33116 and 33129