What is the Greatest Common Factor of 33708 and 33724?

Greatest common factor (GCF) of 33708 and 33724 is 4.

GCF(33708,33724) = 4

We will now calculate the prime factors of 33708 and 33724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33708 and 33724.

How to find the GCF of 33708 and 33724?

We will first find the prime factorization of 33708 and 33724. After we will calculate the factors of 33708 and 33724 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33724

Prime factors of 33724 are 2, 8431. Prime factorization of 33724 in exponential form is:

33724 = 2² × 8431¹

Step-3: Factors of 33708

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

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

Step-4: Factors of 33724

List of positive integer factors of 33724 that divides 33708 without a remainder.

1, 2, 4, 8431, 16862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33708 and 33724. The biggest common factor number is the GCF number.
So the greatest common factor 33708 and 33724 is 4.

Also check out the Least Common Multiple of 33708 and 33724