What is the Greatest Common Factor of 33182 and 33202?

Greatest common factor (GCF) of 33182 and 33202 is 2.

GCF(33182,33202) = 2

We will now calculate the prime factors of 33182 and 33202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33182 and 33202.

How to find the GCF of 33182 and 33202?

We will first find the prime factorization of 33182 and 33202. After we will calculate the factors of 33182 and 33202 and find the biggest common factor number .

Step-1: Prime Factorization of 33182

Prime factors of 33182 are 2, 47, 353. Prime factorization of 33182 in exponential form is:

33182 = 2¹ × 47¹ × 353¹

Step-2: Prime Factorization of 33202

Prime factors of 33202 are 2, 13, 1277. Prime factorization of 33202 in exponential form is:

33202 = 2¹ × 13¹ × 1277¹

Step-3: Factors of 33182

List of positive integer factors of 33182 that divides 33182 without a remainder.

1, 2, 47, 94, 353, 706, 16591

Step-4: Factors of 33202

List of positive integer factors of 33202 that divides 33182 without a remainder.

1, 2, 13, 26, 1277, 2554, 16601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33182 and 33202. The biggest common factor number is the GCF number.
So the greatest common factor 33182 and 33202 is 2.

Also check out the Least Common Multiple of 33182 and 33202