What is the Greatest Common Factor of 3186 and 3202?

Greatest common factor (GCF) of 3186 and 3202 is 2.

GCF(3186,3202) = 2

We will now calculate the prime factors of 3186 and 3202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3186 and 3202.

How to find the GCF of 3186 and 3202?

We will first find the prime factorization of 3186 and 3202. After we will calculate the factors of 3186 and 3202 and find the biggest common factor number .

Step-1: Prime Factorization of 3186

Prime factors of 3186 are 2, 3, 59. Prime factorization of 3186 in exponential form is:

3186 = 2¹ × 3³ × 59¹

Step-2: Prime Factorization of 3202

Prime factors of 3202 are 2, 1601. Prime factorization of 3202 in exponential form is:

3202 = 2¹ × 1601¹

Step-3: Factors of 3186

List of positive integer factors of 3186 that divides 3186 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593

Step-4: Factors of 3202

List of positive integer factors of 3202 that divides 3186 without a remainder.

1, 2, 1601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3186 and 3202. The biggest common factor number is the GCF number.
So the greatest common factor 3186 and 3202 is 2.

Also check out the Least Common Multiple of 3186 and 3202