What is the Greatest Common Factor of 63801 and 63818?

Greatest common factor (GCF) of 63801 and 63818 is 17.

GCF(63801,63818) = 17

We will now calculate the prime factors of 63801 and 63818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63801 and 63818.

How to find the GCF of 63801 and 63818?

We will first find the prime factorization of 63801 and 63818. After we will calculate the factors of 63801 and 63818 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 63818

Prime factors of 63818 are 2, 17, 1877. Prime factorization of 63818 in exponential form is:

63818 = 2¹ × 17¹ × 1877¹

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 63818

List of positive integer factors of 63818 that divides 63801 without a remainder.

1, 2, 17, 34, 1877, 3754, 31909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63801 and 63818. The biggest common factor number is the GCF number.
So the greatest common factor 63801 and 63818 is 17.

Also check out the Least Common Multiple of 63801 and 63818