What is the Greatest Common Factor of 33415 and 33435?

Greatest common factor (GCF) of 33415 and 33435 is 5.

GCF(33415,33435) = 5

We will now calculate the prime factors of 33415 and 33435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33415 and 33435.

How to find the GCF of 33415 and 33435?

We will first find the prime factorization of 33415 and 33435. After we will calculate the factors of 33415 and 33435 and find the biggest common factor number .

Step-1: Prime Factorization of 33415

Prime factors of 33415 are 5, 41, 163. Prime factorization of 33415 in exponential form is:

33415 = 5¹ × 41¹ × 163¹

Step-2: 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-3: Factors of 33415

List of positive integer factors of 33415 that divides 33415 without a remainder.

1, 5, 41, 163, 205, 815, 6683

Step-4: Factors of 33435

List of positive integer factors of 33435 that divides 33415 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33415 and 33435. The biggest common factor number is the GCF number.
So the greatest common factor 33415 and 33435 is 5.

Also check out the Least Common Multiple of 33415 and 33435