What is the Greatest Common Factor of 63603 and 63609?

Greatest common factor (GCF) of 63603 and 63609 is 3.

GCF(63603,63609) = 3

We will now calculate the prime factors of 63603 and 63609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63603 and 63609.

How to find the GCF of 63603 and 63609?

We will first find the prime factorization of 63603 and 63609. After we will calculate the factors of 63603 and 63609 and find the biggest common factor number .

Step-1: Prime Factorization of 63603

Prime factors of 63603 are 3, 37, 191. Prime factorization of 63603 in exponential form is:

63603 = 3² × 37¹ × 191¹

Step-2: Prime Factorization of 63609

Prime factors of 63609 are 3, 7, 13, 233. Prime factorization of 63609 in exponential form is:

63609 = 3¹ × 7¹ × 13¹ × 233¹

Step-3: Factors of 63603

List of positive integer factors of 63603 that divides 63603 without a remainder.

1, 3, 9, 37, 111, 191, 333, 573, 1719, 7067, 21201

Step-4: Factors of 63609

List of positive integer factors of 63609 that divides 63603 without a remainder.

1, 3, 7, 13, 21, 39, 91, 233, 273, 699, 1631, 3029, 4893, 9087, 21203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63603 and 63609. The biggest common factor number is the GCF number.
So the greatest common factor 63603 and 63609 is 3.

Also check out the Least Common Multiple of 63603 and 63609