What is the Greatest Common Factor of 33690 and 33708?

Greatest common factor (GCF) of 33690 and 33708 is 6.

GCF(33690,33708) = 6

We will now calculate the prime factors of 33690 and 33708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33690 and 33708.

How to find the GCF of 33690 and 33708?

We will first find the prime factorization of 33690 and 33708. After we will calculate the factors of 33690 and 33708 and find the biggest common factor number .

Step-1: Prime Factorization of 33690

Prime factors of 33690 are 2, 3, 5, 1123. Prime factorization of 33690 in exponential form is:

33690 = 2¹ × 3¹ × 5¹ × 1123¹

Step-2: Prime Factorization of 33708

Prime factors of 33708 are 2, 3, 53. Prime factorization of 33708 in exponential form is:

33708 = 2² × 3¹ × 53²

Step-3: Factors of 33690

List of positive integer factors of 33690 that divides 33690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1123, 2246, 3369, 5615, 6738, 11230, 16845

Step-4: Factors of 33708

List of positive integer factors of 33708 that divides 33690 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636, 2809, 5618, 8427, 11236, 16854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33690 and 33708. The biggest common factor number is the GCF number.
So the greatest common factor 33690 and 33708 is 6.

Also check out the Least Common Multiple of 33690 and 33708