What is the Greatest Common Factor of 63206 and 63219?

Greatest common factor (GCF) of 63206 and 63219 is 13.

GCF(63206,63219) = 13

We will now calculate the prime factors of 63206 and 63219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63206 and 63219.

How to find the GCF of 63206 and 63219?

We will first find the prime factorization of 63206 and 63219. After we will calculate the factors of 63206 and 63219 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63219

Prime factors of 63219 are 3, 13, 1621. Prime factorization of 63219 in exponential form is:

63219 = 3¹ × 13¹ × 1621¹

Step-3: Factors of 63206

List of positive integer factors of 63206 that divides 63206 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

Step-4: Factors of 63219

List of positive integer factors of 63219 that divides 63206 without a remainder.

1, 3, 13, 39, 1621, 4863, 21073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63206 and 63219. The biggest common factor number is the GCF number.
So the greatest common factor 63206 and 63219 is 13.

Also check out the Least Common Multiple of 63206 and 63219