What is the Greatest Common Factor of 63189 and 63203?

Greatest common factor (GCF) of 63189 and 63203 is 7.

GCF(63189,63203) = 7

We will now calculate the prime factors of 63189 and 63203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63189 and 63203.

How to find the GCF of 63189 and 63203?

We will first find the prime factorization of 63189 and 63203. After we will calculate the factors of 63189 and 63203 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 63203

Prime factors of 63203 are 7, 9029. Prime factorization of 63203 in exponential form is:

63203 = 7¹ × 9029¹

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 63203

List of positive integer factors of 63203 that divides 63189 without a remainder.

1, 7, 9029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63189 and 63203. The biggest common factor number is the GCF number.
So the greatest common factor 63189 and 63203 is 7.

Also check out the Least Common Multiple of 63189 and 63203