What is the Greatest Common Factor of 99825 and 99832?

Greatest common factor (GCF) of 99825 and 99832 is 1.

GCF(99825,99832) = 1

We will now calculate the prime factors of 99825 and 99832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99825 and 99832.

How to find the GCF of 99825 and 99832?

We will first find the prime factorization of 99825 and 99832. After we will calculate the factors of 99825 and 99832 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 99832

Prime factors of 99832 are 2, 12479. Prime factorization of 99832 in exponential form is:

99832 = 2³ × 12479¹

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 99832

List of positive integer factors of 99832 that divides 99825 without a remainder.

1, 2, 4, 8, 12479, 24958, 49916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99825 and 99832. The biggest common factor number is the GCF number.
So the greatest common factor 99825 and 99832 is 1.

Also check out the Least Common Multiple of 99825 and 99832