What is the Greatest Common Factor of 63810 and 63828?

Greatest common factor (GCF) of 63810 and 63828 is 18.

GCF(63810,63828) = 18

We will now calculate the prime factors of 63810 and 63828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63810 and 63828.

How to find the GCF of 63810 and 63828?

We will first find the prime factorization of 63810 and 63828. After we will calculate the factors of 63810 and 63828 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 63828

Prime factors of 63828 are 2, 3, 197. Prime factorization of 63828 in exponential form is:

63828 = 2² × 3⁴ × 197¹

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 63828

List of positive integer factors of 63828 that divides 63810 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 197, 324, 394, 591, 788, 1182, 1773, 2364, 3546, 5319, 7092, 10638, 15957, 21276, 31914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63810 and 63828. The biggest common factor number is the GCF number.
So the greatest common factor 63810 and 63828 is 18.

Also check out the Least Common Multiple of 63810 and 63828