What is the Greatest Common Factor of 63800 and 63809?

Greatest common factor (GCF) of 63800 and 63809 is 1.

GCF(63800,63809) = 1

We will now calculate the prime factors of 63800 and 63809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63800 and 63809.

How to find the GCF of 63800 and 63809?

We will first find the prime factorization of 63800 and 63809. After we will calculate the factors of 63800 and 63809 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 63809

Prime factors of 63809 are 63809. Prime factorization of 63809 in exponential form is:

63809 = 63809¹

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 63809

List of positive integer factors of 63809 that divides 63800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63800 and 63809. The biggest common factor number is the GCF number.
So the greatest common factor 63800 and 63809 is 1.

Also check out the Least Common Multiple of 63800 and 63809