What is the Greatest Common Factor of 99820 and 99836?

Greatest common factor (GCF) of 99820 and 99836 is 4.

GCF(99820,99836) = 4

We will now calculate the prime factors of 99820 and 99836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99820 and 99836.

How to find the GCF of 99820 and 99836?

We will first find the prime factorization of 99820 and 99836. After we will calculate the factors of 99820 and 99836 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99836

Prime factors of 99836 are 2, 11, 2269. Prime factorization of 99836 in exponential form is:

99836 = 2² × 11¹ × 2269¹

Step-3: Factors of 99820

List of positive integer factors of 99820 that divides 99820 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

Step-4: Factors of 99836

List of positive integer factors of 99836 that divides 99820 without a remainder.

1, 2, 4, 11, 22, 44, 2269, 4538, 9076, 24959, 49918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99820 and 99836. The biggest common factor number is the GCF number.
So the greatest common factor 99820 and 99836 is 4.

Also check out the Least Common Multiple of 99820 and 99836