What is the Greatest Common Factor of 33702 and 33708?

Greatest common factor (GCF) of 33702 and 33708 is 6.

GCF(33702,33708) = 6

We will now calculate the prime factors of 33702 and 33708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33702 and 33708.

How to find the GCF of 33702 and 33708?

We will first find the prime factorization of 33702 and 33708. After we will calculate the factors of 33702 and 33708 and find the biggest common factor number .

Step-1: 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-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 33702

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

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

Step-4: Factors of 33708

List of positive integer factors of 33708 that divides 33702 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 33702 and 33708. The biggest common factor number is the GCF number.
So the greatest common factor 33702 and 33708 is 6.

Also check out the Least Common Multiple of 33702 and 33708