What is the Greatest Common Factor of 63800 and 63810?

Greatest common factor (GCF) of 63800 and 63810 is 10.

GCF(63800,63810) = 10

We will now calculate the prime factors of 63800 and 63810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63800 and 63810.

How to find the GCF of 63800 and 63810?

We will first find the prime factorization of 63800 and 63810. After we will calculate the factors of 63800 and 63810 and find the biggest common factor number .

Step-1: Prime Factorization of 63800

Prime factors of 63800 are 2, 5, 11, 29. Prime factorization of 63800 in exponential form is:

63800 = 2³ × 5² × 11¹ × 29¹

Step-2: 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-3: Factors of 63800

List of positive integer factors of 63800 that divides 63800 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 29, 40, 44, 50, 55, 58, 88, 100, 110, 116, 145, 200, 220, 232, 275, 290, 319, 440, 550, 580, 638, 725, 1100, 1160, 1276, 1450, 1595, 2200, 2552, 2900, 3190, 5800, 6380, 7975, 12760, 15950, 31900

Step-4: Factors of 63810

List of positive integer factors of 63810 that divides 63800 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63800 and 63810. The biggest common factor number is the GCF number.
So the greatest common factor 63800 and 63810 is 10.

Also check out the Least Common Multiple of 63800 and 63810