What is the Greatest Common Factor of 33170 and 33186?

Greatest common factor (GCF) of 33170 and 33186 is 2.

GCF(33170,33186) = 2

We will now calculate the prime factors of 33170 and 33186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33170 and 33186.

How to find the GCF of 33170 and 33186?

We will first find the prime factorization of 33170 and 33186. After we will calculate the factors of 33170 and 33186 and find the biggest common factor number .

Step-1: Prime Factorization of 33170

Prime factors of 33170 are 2, 5, 31, 107. Prime factorization of 33170 in exponential form is:

33170 = 2¹ × 5¹ × 31¹ × 107¹

Step-2: Prime Factorization of 33186

Prime factors of 33186 are 2, 3, 5531. Prime factorization of 33186 in exponential form is:

33186 = 2¹ × 3¹ × 5531¹

Step-3: Factors of 33170

List of positive integer factors of 33170 that divides 33170 without a remainder.

1, 2, 5, 10, 31, 62, 107, 155, 214, 310, 535, 1070, 3317, 6634, 16585

Step-4: Factors of 33186

List of positive integer factors of 33186 that divides 33170 without a remainder.

1, 2, 3, 6, 5531, 11062, 16593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33170 and 33186. The biggest common factor number is the GCF number.
So the greatest common factor 33170 and 33186 is 2.

Also check out the Least Common Multiple of 33170 and 33186