What is the Greatest Common Factor of 59800 and 59814?

Greatest common factor (GCF) of 59800 and 59814 is 2.

GCF(59800,59814) = 2

We will now calculate the prime factors of 59800 and 59814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59800 and 59814.

How to find the GCF of 59800 and 59814?

We will first find the prime factorization of 59800 and 59814. After we will calculate the factors of 59800 and 59814 and find the biggest common factor number .

Step-1: Prime Factorization of 59800

Prime factors of 59800 are 2, 5, 13, 23. Prime factorization of 59800 in exponential form is:

59800 = 2³ × 5² × 13¹ × 23¹

Step-2: Prime Factorization of 59814

Prime factors of 59814 are 2, 3, 3323. Prime factorization of 59814 in exponential form is:

59814 = 2¹ × 3² × 3323¹

Step-3: Factors of 59800

List of positive integer factors of 59800 that divides 59800 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 23, 25, 26, 40, 46, 50, 52, 65, 92, 100, 104, 115, 130, 184, 200, 230, 260, 299, 325, 460, 520, 575, 598, 650, 920, 1150, 1196, 1300, 1495, 2300, 2392, 2600, 2990, 4600, 5980, 7475, 11960, 14950, 29900

Step-4: Factors of 59814

List of positive integer factors of 59814 that divides 59800 without a remainder.

1, 2, 3, 6, 9, 18, 3323, 6646, 9969, 19938, 29907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59800 and 59814. The biggest common factor number is the GCF number.
So the greatest common factor 59800 and 59814 is 2.

Also check out the Least Common Multiple of 59800 and 59814