What is the Greatest Common Factor of 99612 and 99630?

Greatest common factor (GCF) of 99612 and 99630 is 18.

GCF(99612,99630) = 18

We will now calculate the prime factors of 99612 and 99630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99612 and 99630.

How to find the GCF of 99612 and 99630?

We will first find the prime factorization of 99612 and 99630. After we will calculate the factors of 99612 and 99630 and find the biggest common factor number .

Step-1: Prime Factorization of 99612

Prime factors of 99612 are 2, 3, 2767. Prime factorization of 99612 in exponential form is:

99612 = 2² × 3² × 2767¹

Step-2: Prime Factorization of 99630

Prime factors of 99630 are 2, 3, 5, 41. Prime factorization of 99630 in exponential form is:

99630 = 2¹ × 3⁵ × 5¹ × 41¹

Step-3: Factors of 99612

List of positive integer factors of 99612 that divides 99612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2767, 5534, 8301, 11068, 16602, 24903, 33204, 49806

Step-4: Factors of 99630

List of positive integer factors of 99630 that divides 99612 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 81, 82, 90, 123, 135, 162, 205, 243, 246, 270, 369, 405, 410, 486, 615, 738, 810, 1107, 1215, 1230, 1845, 2214, 2430, 3321, 3690, 5535, 6642, 9963, 11070, 16605, 19926, 33210, 49815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99612 and 99630. The biggest common factor number is the GCF number.
So the greatest common factor 99612 and 99630 is 18.

Also check out the Least Common Multiple of 99612 and 99630