What is the Greatest Common Factor of 33606 and 33618?

Greatest common factor (GCF) of 33606 and 33618 is 6.

GCF(33606,33618) = 6

We will now calculate the prime factors of 33606 and 33618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33606 and 33618.

How to find the GCF of 33606 and 33618?

We will first find the prime factorization of 33606 and 33618. After we will calculate the factors of 33606 and 33618 and find the biggest common factor number .

Step-1: Prime Factorization of 33606

Prime factors of 33606 are 2, 3, 1867. Prime factorization of 33606 in exponential form is:

33606 = 2¹ × 3² × 1867¹

Step-2: Prime Factorization of 33618

Prime factors of 33618 are 2, 3, 13, 431. Prime factorization of 33618 in exponential form is:

33618 = 2¹ × 3¹ × 13¹ × 431¹

Step-3: Factors of 33606

List of positive integer factors of 33606 that divides 33606 without a remainder.

1, 2, 3, 6, 9, 18, 1867, 3734, 5601, 11202, 16803

Step-4: Factors of 33618

List of positive integer factors of 33618 that divides 33606 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 431, 862, 1293, 2586, 5603, 11206, 16809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33606 and 33618. The biggest common factor number is the GCF number.
So the greatest common factor 33606 and 33618 is 6.

Also check out the Least Common Multiple of 33606 and 33618