What is the Greatest Common Factor of 99820 and 99830?

Greatest common factor (GCF) of 99820 and 99830 is 10.

GCF(99820,99830) = 10

We will now calculate the prime factors of 99820 and 99830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99820 and 99830.

How to find the GCF of 99820 and 99830?

We will first find the prime factorization of 99820 and 99830. After we will calculate the factors of 99820 and 99830 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 99830

Prime factors of 99830 are 2, 5, 67, 149. Prime factorization of 99830 in exponential form is:

99830 = 2¹ × 5¹ × 67¹ × 149¹

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 99830

List of positive integer factors of 99830 that divides 99820 without a remainder.

1, 2, 5, 10, 67, 134, 149, 298, 335, 670, 745, 1490, 9983, 19966, 49915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99820 and 99830. The biggest common factor number is the GCF number.
So the greatest common factor 99820 and 99830 is 10.

Also check out the Least Common Multiple of 99820 and 99830