What is the Greatest Common Factor of 63189 and 63206?

Greatest common factor (GCF) of 63189 and 63206 is 17.

GCF(63189,63206) = 17

We will now calculate the prime factors of 63189 and 63206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63189 and 63206.

How to find the GCF of 63189 and 63206?

We will first find the prime factorization of 63189 and 63206. After we will calculate the factors of 63189 and 63206 and find the biggest common factor number .

Step-1: Prime Factorization of 63189

Prime factors of 63189 are 3, 7, 17, 59. Prime factorization of 63189 in exponential form is:

63189 = 3² × 7¹ × 17¹ × 59¹

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 63189

List of positive integer factors of 63189 that divides 63189 without a remainder.

1, 3, 7, 9, 17, 21, 51, 59, 63, 119, 153, 177, 357, 413, 531, 1003, 1071, 1239, 3009, 3717, 7021, 9027, 21063

Step-4: Factors of 63206

List of positive integer factors of 63206 that divides 63189 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 63189 and 63206. The biggest common factor number is the GCF number.
So the greatest common factor 63189 and 63206 is 17.

Also check out the Least Common Multiple of 63189 and 63206