What is the Greatest Common Factor of 33684 and 33692?

Greatest common factor (GCF) of 33684 and 33692 is 4.

GCF(33684,33692) = 4

We will now calculate the prime factors of 33684 and 33692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33684 and 33692.

How to find the GCF of 33684 and 33692?

We will first find the prime factorization of 33684 and 33692. After we will calculate the factors of 33684 and 33692 and find the biggest common factor number .

Step-1: Prime Factorization of 33684

Prime factors of 33684 are 2, 3, 7, 401. Prime factorization of 33684 in exponential form is:

33684 = 2² × 3¹ × 7¹ × 401¹

Step-2: Prime Factorization of 33692

Prime factors of 33692 are 2, 8423. Prime factorization of 33692 in exponential form is:

33692 = 2² × 8423¹

Step-3: Factors of 33684

List of positive integer factors of 33684 that divides 33684 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 401, 802, 1203, 1604, 2406, 2807, 4812, 5614, 8421, 11228, 16842

Step-4: Factors of 33692

List of positive integer factors of 33692 that divides 33684 without a remainder.

1, 2, 4, 8423, 16846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33684 and 33692. The biggest common factor number is the GCF number.
So the greatest common factor 33684 and 33692 is 4.

Also check out the Least Common Multiple of 33684 and 33692