What is the Greatest Common Factor of 99814 and 99825?

Greatest common factor (GCF) of 99814 and 99825 is 11.

GCF(99814,99825) = 11

We will now calculate the prime factors of 99814 and 99825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99814 and 99825.

How to find the GCF of 99814 and 99825?

We will first find the prime factorization of 99814 and 99825. After we will calculate the factors of 99814 and 99825 and find the biggest common factor number .

Step-1: Prime Factorization of 99814

Prime factors of 99814 are 2, 11, 13, 349. Prime factorization of 99814 in exponential form is:

99814 = 2¹ × 11¹ × 13¹ × 349¹

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 99814

List of positive integer factors of 99814 that divides 99814 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286, 349, 698, 3839, 4537, 7678, 9074, 49907

Step-4: Factors of 99825

List of positive integer factors of 99825 that divides 99814 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 99814 and 99825. The biggest common factor number is the GCF number.
So the greatest common factor 99814 and 99825 is 11.

Also check out the Least Common Multiple of 99814 and 99825