What is the Greatest Common Factor of 33404 and 33420?

Greatest common factor (GCF) of 33404 and 33420 is 4.

GCF(33404,33420) = 4

We will now calculate the prime factors of 33404 and 33420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33404 and 33420.

How to find the GCF of 33404 and 33420?

We will first find the prime factorization of 33404 and 33420. After we will calculate the factors of 33404 and 33420 and find the biggest common factor number .

Step-1: Prime Factorization of 33404

Prime factors of 33404 are 2, 7, 1193. Prime factorization of 33404 in exponential form is:

33404 = 2² × 7¹ × 1193¹

Step-2: Prime Factorization of 33420

Prime factors of 33420 are 2, 3, 5, 557. Prime factorization of 33420 in exponential form is:

33420 = 2² × 3¹ × 5¹ × 557¹

Step-3: Factors of 33404

List of positive integer factors of 33404 that divides 33404 without a remainder.

1, 2, 4, 7, 14, 28, 1193, 2386, 4772, 8351, 16702

Step-4: Factors of 33420

List of positive integer factors of 33420 that divides 33404 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 557, 1114, 1671, 2228, 2785, 3342, 5570, 6684, 8355, 11140, 16710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33404 and 33420. The biggest common factor number is the GCF number.
So the greatest common factor 33404 and 33420 is 4.

Also check out the Least Common Multiple of 33404 and 33420