What is the Greatest Common Factor of 63810 and 63815?

Greatest common factor (GCF) of 63810 and 63815 is 5.

GCF(63810,63815) = 5

We will now calculate the prime factors of 63810 and 63815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63810 and 63815.

How to find the GCF of 63810 and 63815?

We will first find the prime factorization of 63810 and 63815. After we will calculate the factors of 63810 and 63815 and find the biggest common factor number .

Step-1: Prime Factorization of 63810

Prime factors of 63810 are 2, 3, 5, 709. Prime factorization of 63810 in exponential form is:

63810 = 2¹ × 3² × 5¹ × 709¹

Step-2: Prime Factorization of 63815

Prime factors of 63815 are 5, 12763. Prime factorization of 63815 in exponential form is:

63815 = 5¹ × 12763¹

Step-3: Factors of 63810

List of positive integer factors of 63810 that divides 63810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 709, 1418, 2127, 3545, 4254, 6381, 7090, 10635, 12762, 21270, 31905

Step-4: Factors of 63815

List of positive integer factors of 63815 that divides 63810 without a remainder.

1, 5, 12763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63810 and 63815. The biggest common factor number is the GCF number.
So the greatest common factor 63810 and 63815 is 5.

Also check out the Least Common Multiple of 63810 and 63815