What is the Greatest Common Factor of 63800 and 63805?

Greatest common factor (GCF) of 63800 and 63805 is 5.

GCF(63800,63805) = 5

We will now calculate the prime factors of 63800 and 63805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63800 and 63805.

How to find the GCF of 63800 and 63805?

We will first find the prime factorization of 63800 and 63805. After we will calculate the factors of 63800 and 63805 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 63805

Prime factors of 63805 are 5, 7, 1823. Prime factorization of 63805 in exponential form is:

63805 = 5¹ × 7¹ × 1823¹

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 63805

List of positive integer factors of 63805 that divides 63800 without a remainder.

1, 5, 7, 35, 1823, 9115, 12761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63800 and 63805. The biggest common factor number is the GCF number.
So the greatest common factor 63800 and 63805 is 5.

Also check out the Least Common Multiple of 63800 and 63805