What is the Greatest Common Factor of 99805 and 99820?

Greatest common factor (GCF) of 99805 and 99820 is 5.

GCF(99805,99820) = 5

We will now calculate the prime factors of 99805 and 99820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99805 and 99820.

How to find the GCF of 99805 and 99820?

We will first find the prime factorization of 99805 and 99820. After we will calculate the factors of 99805 and 99820 and find the biggest common factor number .

Step-1: Prime Factorization of 99805

Prime factors of 99805 are 5, 19961. Prime factorization of 99805 in exponential form is:

99805 = 5¹ × 19961¹

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 99805

List of positive integer factors of 99805 that divides 99805 without a remainder.

1, 5, 19961

Step-4: Factors of 99820

List of positive integer factors of 99820 that divides 99805 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 99805 and 99820. The biggest common factor number is the GCF number.
So the greatest common factor 99805 and 99820 is 5.

Also check out the Least Common Multiple of 99805 and 99820