What is the Greatest Common Factor of 33420 and 33434?

Greatest common factor (GCF) of 33420 and 33434 is 2.

GCF(33420,33434) = 2

We will now calculate the prime factors of 33420 and 33434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33420 and 33434.

How to find the GCF of 33420 and 33434?

We will first find the prime factorization of 33420 and 33434. After we will calculate the factors of 33420 and 33434 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33434

Prime factors of 33434 are 2, 73, 229. Prime factorization of 33434 in exponential form is:

33434 = 2¹ × 73¹ × 229¹

Step-3: Factors of 33420

List of positive integer factors of 33420 that divides 33420 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

Step-4: Factors of 33434

List of positive integer factors of 33434 that divides 33420 without a remainder.

1, 2, 73, 146, 229, 458, 16717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33420 and 33434. The biggest common factor number is the GCF number.
So the greatest common factor 33420 and 33434 is 2.

Also check out the Least Common Multiple of 33420 and 33434