What is the Greatest Common Factor of 99800 and 99820?

Greatest common factor (GCF) of 99800 and 99820 is 20.

GCF(99800,99820) = 20

We will now calculate the prime factors of 99800 and 99820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99800 and 99820.

How to find the GCF of 99800 and 99820?

We will first find the prime factorization of 99800 and 99820. After we will calculate the factors of 99800 and 99820 and find the biggest common factor number .

Step-1: Prime Factorization of 99800

Prime factors of 99800 are 2, 5, 499. Prime factorization of 99800 in exponential form is:

99800 = 2³ × 5² × 499¹

Step-2: Prime Factorization of 99820

Prime factors of 99820 are 2, 5, 7, 23, 31. Prime factorization of 99820 in exponential form is:

99820 = 2² × 5¹ × 7¹ × 23¹ × 31¹

Step-3: Factors of 99800

List of positive integer factors of 99800 that divides 99800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 499, 998, 1996, 2495, 3992, 4990, 9980, 12475, 19960, 24950, 49900

Step-4: Factors of 99820

List of positive integer factors of 99820 that divides 99800 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 31, 35, 46, 62, 70, 92, 115, 124, 140, 155, 161, 217, 230, 310, 322, 434, 460, 620, 644, 713, 805, 868, 1085, 1426, 1610, 2170, 2852, 3220, 3565, 4340, 4991, 7130, 9982, 14260, 19964, 24955, 49910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99800 and 99820. The biggest common factor number is the GCF number.
So the greatest common factor 99800 and 99820 is 20.

Also check out the Least Common Multiple of 99800 and 99820