What is the Greatest Common Factor of 33684 and 33702?

Greatest common factor (GCF) of 33684 and 33702 is 6.

GCF(33684,33702) = 6

We will now calculate the prime factors of 33684 and 33702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33684 and 33702.

How to find the GCF of 33684 and 33702?

We will first find the prime factorization of 33684 and 33702. After we will calculate the factors of 33684 and 33702 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 33702

Prime factors of 33702 are 2, 3, 41, 137. Prime factorization of 33702 in exponential form is:

33702 = 2¹ × 3¹ × 41¹ × 137¹

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 33702

List of positive integer factors of 33702 that divides 33684 without a remainder.

1, 2, 3, 6, 41, 82, 123, 137, 246, 274, 411, 822, 5617, 11234, 16851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33684 and 33702. The biggest common factor number is the GCF number.
So the greatest common factor 33684 and 33702 is 6.

Also check out the Least Common Multiple of 33684 and 33702