What is the Greatest Common Factor of 63801 and 63807?

Greatest common factor (GCF) of 63801 and 63807 is 3.

GCF(63801,63807) = 3

We will now calculate the prime factors of 63801 and 63807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63801 and 63807.

How to find the GCF of 63801 and 63807?

We will first find the prime factorization of 63801 and 63807. After we will calculate the factors of 63801 and 63807 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63807

Prime factors of 63807 are 3, 21269. Prime factorization of 63807 in exponential form is:

63807 = 3¹ × 21269¹

Step-3: Factors of 63801

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

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

Step-4: Factors of 63807

List of positive integer factors of 63807 that divides 63801 without a remainder.

1, 3, 21269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63801 and 63807. The biggest common factor number is the GCF number.
So the greatest common factor 63801 and 63807 is 3.

Also check out the Least Common Multiple of 63801 and 63807