What is the Greatest Common Factor of 63186 and 63206?

Greatest common factor (GCF) of 63186 and 63206 is 2.

GCF(63186,63206) = 2

We will now calculate the prime factors of 63186 and 63206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63186 and 63206.

How to find the GCF of 63186 and 63206?

We will first find the prime factorization of 63186 and 63206. After we will calculate the factors of 63186 and 63206 and find the biggest common factor number .

Step-1: Prime Factorization of 63186

Prime factors of 63186 are 2, 3, 10531. Prime factorization of 63186 in exponential form is:

63186 = 2¹ × 3¹ × 10531¹

Step-2: Prime Factorization of 63206

Prime factors of 63206 are 2, 11, 13, 17. Prime factorization of 63206 in exponential form is:

63206 = 2¹ × 11¹ × 13² × 17¹

Step-3: Factors of 63186

List of positive integer factors of 63186 that divides 63186 without a remainder.

1, 2, 3, 6, 10531, 21062, 31593

Step-4: Factors of 63206

List of positive integer factors of 63206 that divides 63186 without a remainder.

1, 2, 11, 13, 17, 22, 26, 34, 143, 169, 187, 221, 286, 338, 374, 442, 1859, 2431, 2873, 3718, 4862, 5746, 31603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63186 and 63206. The biggest common factor number is the GCF number.
So the greatest common factor 63186 and 63206 is 2.

Also check out the Least Common Multiple of 63186 and 63206