What is the Greatest Common Factor of 63189 and 63199?

Greatest common factor (GCF) of 63189 and 63199 is 1.

GCF(63189,63199) = 1

We will now calculate the prime factors of 63189 and 63199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63189 and 63199.

How to find the GCF of 63189 and 63199?

We will first find the prime factorization of 63189 and 63199. After we will calculate the factors of 63189 and 63199 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 63199

Prime factors of 63199 are 63199. Prime factorization of 63199 in exponential form is:

63199 = 63199¹

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 63199

List of positive integer factors of 63199 that divides 63189 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63189 and 63199. The biggest common factor number is the GCF number.
So the greatest common factor 63189 and 63199 is 1.

Also check out the Least Common Multiple of 63189 and 63199