What is the Greatest Common Factor of 33435 and 33442?

Greatest common factor (GCF) of 33435 and 33442 is 1.

GCF(33435,33442) = 1

We will now calculate the prime factors of 33435 and 33442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33435 and 33442.

How to find the GCF of 33435 and 33442?

We will first find the prime factorization of 33435 and 33442. After we will calculate the factors of 33435 and 33442 and find the biggest common factor number .

Step-1: Prime Factorization of 33435

Prime factors of 33435 are 3, 5, 743. Prime factorization of 33435 in exponential form is:

33435 = 3² × 5¹ × 743¹

Step-2: Prime Factorization of 33442

Prime factors of 33442 are 2, 23, 727. Prime factorization of 33442 in exponential form is:

33442 = 2¹ × 23¹ × 727¹

Step-3: Factors of 33435

List of positive integer factors of 33435 that divides 33435 without a remainder.

1, 3, 5, 9, 15, 45, 743, 2229, 3715, 6687, 11145

Step-4: Factors of 33442

List of positive integer factors of 33442 that divides 33435 without a remainder.

1, 2, 23, 46, 727, 1454, 16721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33435 and 33442. The biggest common factor number is the GCF number.
So the greatest common factor 33435 and 33442 is 1.

Also check out the Least Common Multiple of 33435 and 33442