What is the Greatest Common Factor of 99825 and 99830?

Greatest common factor (GCF) of 99825 and 99830 is 5.

GCF(99825,99830) = 5

We will now calculate the prime factors of 99825 and 99830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99825 and 99830.

How to find the GCF of 99825 and 99830?

We will first find the prime factorization of 99825 and 99830. After we will calculate the factors of 99825 and 99830 and find the biggest common factor number .

Step-1: 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-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 99825

List of positive integer factors of 99825 that divides 99825 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

Step-4: Factors of 99830

List of positive integer factors of 99830 that divides 99825 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 99825 and 99830. The biggest common factor number is the GCF number.
So the greatest common factor 99825 and 99830 is 5.

Also check out the Least Common Multiple of 99825 and 99830