What is the Greatest Common Factor of 63183 and 63189?

Greatest common factor (GCF) of 63183 and 63189 is 3.

GCF(63183,63189) = 3

We will now calculate the prime factors of 63183 and 63189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63183 and 63189.

How to find the GCF of 63183 and 63189?

We will first find the prime factorization of 63183 and 63189. After we will calculate the factors of 63183 and 63189 and find the biggest common factor number .

Step-1: Prime Factorization of 63183

Prime factors of 63183 are 3, 21061. Prime factorization of 63183 in exponential form is:

63183 = 3¹ × 21061¹

Step-2: 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-3: Factors of 63183

List of positive integer factors of 63183 that divides 63183 without a remainder.

1, 3, 21061

Step-4: Factors of 63189

List of positive integer factors of 63189 that divides 63183 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63183 and 63189. The biggest common factor number is the GCF number.
So the greatest common factor 63183 and 63189 is 3.

Also check out the Least Common Multiple of 63183 and 63189