What is the Greatest Common Factor of 99820 and 99825?

Greatest common factor (GCF) of 99820 and 99825 is 5.

GCF(99820,99825) = 5

We will now calculate the prime factors of 99820 and 99825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99820 and 99825.

How to find the GCF of 99820 and 99825?

We will first find the prime factorization of 99820 and 99825. After we will calculate the factors of 99820 and 99825 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 99825

Prime factors of 99825 are 3, 5, 11. Prime factorization of 99825 in exponential form is:

99825 = 3¹ × 5² × 11³

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 99825

List of positive integer factors of 99825 that divides 99820 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1331, 1815, 3025, 3993, 6655, 9075, 19965, 33275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99820 and 99825. The biggest common factor number is the GCF number.
So the greatest common factor 99820 and 99825 is 5.

Also check out the Least Common Multiple of 99820 and 99825