What is the Greatest Common Factor of 63789 and 63801?

Greatest common factor (GCF) of 63789 and 63801 is 3.

GCF(63789,63801) = 3

We will now calculate the prime factors of 63789 and 63801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63789 and 63801.

How to find the GCF of 63789 and 63801?

We will first find the prime factorization of 63789 and 63801. After we will calculate the factors of 63789 and 63801 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 63801

Prime factors of 63801 are 3, 17, 139. Prime factorization of 63801 in exponential form is:

63801 = 3³ × 17¹ × 139¹

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 63801

List of positive integer factors of 63801 that divides 63789 without a remainder.

1, 3, 9, 17, 27, 51, 139, 153, 417, 459, 1251, 2363, 3753, 7089, 21267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63789 and 63801. The biggest common factor number is the GCF number.
So the greatest common factor 63789 and 63801 is 3.

Also check out the Least Common Multiple of 63789 and 63801