What is the Greatest Common Factor of 63789 and 63804?

Greatest common factor (GCF) of 63789 and 63804 is 3.

GCF(63789,63804) = 3

We will now calculate the prime factors of 63789 and 63804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63789 and 63804.

How to find the GCF of 63789 and 63804?

We will first find the prime factorization of 63789 and 63804. After we will calculate the factors of 63789 and 63804 and find the biggest common factor number .

Step-1: Prime Factorization of 63789

Prime factors of 63789 are 3, 11, 1933. Prime factorization of 63789 in exponential form is:

63789 = 3¹ × 11¹ × 1933¹

Step-2: Prime Factorization of 63804

Prime factors of 63804 are 2, 3, 13, 409. Prime factorization of 63804 in exponential form is:

63804 = 2² × 3¹ × 13¹ × 409¹

Step-3: Factors of 63789

List of positive integer factors of 63789 that divides 63789 without a remainder.

1, 3, 11, 33, 1933, 5799, 21263

Step-4: Factors of 63804

List of positive integer factors of 63804 that divides 63789 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 409, 818, 1227, 1636, 2454, 4908, 5317, 10634, 15951, 21268, 31902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63789 and 63804. The biggest common factor number is the GCF number.
So the greatest common factor 63789 and 63804 is 3.

Also check out the Least Common Multiple of 63789 and 63804