What is the Greatest Common Factor of 33365 and 33370?

Greatest common factor (GCF) of 33365 and 33370 is 5.

GCF(33365,33370) = 5

We will now calculate the prime factors of 33365 and 33370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33365 and 33370.

How to find the GCF of 33365 and 33370?

We will first find the prime factorization of 33365 and 33370. After we will calculate the factors of 33365 and 33370 and find the biggest common factor number .

Step-1: Prime Factorization of 33365

Prime factors of 33365 are 5, 6673. Prime factorization of 33365 in exponential form is:

33365 = 5¹ × 6673¹

Step-2: Prime Factorization of 33370

Prime factors of 33370 are 2, 5, 47, 71. Prime factorization of 33370 in exponential form is:

33370 = 2¹ × 5¹ × 47¹ × 71¹

Step-3: Factors of 33365

List of positive integer factors of 33365 that divides 33365 without a remainder.

1, 5, 6673

Step-4: Factors of 33370

List of positive integer factors of 33370 that divides 33365 without a remainder.

1, 2, 5, 10, 47, 71, 94, 142, 235, 355, 470, 710, 3337, 6674, 16685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33365 and 33370. The biggest common factor number is the GCF number.
So the greatest common factor 33365 and 33370 is 5.

Also check out the Least Common Multiple of 33365 and 33370