What is the Greatest Common Factor of 99408 and 99417?

Greatest common factor (GCF) of 99408 and 99417 is 3.

GCF(99408,99417) = 3

We will now calculate the prime factors of 99408 and 99417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99408 and 99417.

How to find the GCF of 99408 and 99417?

We will first find the prime factorization of 99408 and 99417. After we will calculate the factors of 99408 and 99417 and find the biggest common factor number .

Step-1: Prime Factorization of 99408

Prime factors of 99408 are 2, 3, 19, 109. Prime factorization of 99408 in exponential form is:

99408 = 2⁴ × 3¹ × 19¹ × 109¹

Step-2: Prime Factorization of 99417

Prime factors of 99417 are 3, 31, 1069. Prime factorization of 99417 in exponential form is:

99417 = 3¹ × 31¹ × 1069¹

Step-3: Factors of 99408

List of positive integer factors of 99408 that divides 99408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 109, 114, 152, 218, 228, 304, 327, 436, 456, 654, 872, 912, 1308, 1744, 2071, 2616, 4142, 5232, 6213, 8284, 12426, 16568, 24852, 33136, 49704

Step-4: Factors of 99417

List of positive integer factors of 99417 that divides 99408 without a remainder.

1, 3, 31, 93, 1069, 3207, 33139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99408 and 99417. The biggest common factor number is the GCF number.
So the greatest common factor 99408 and 99417 is 3.

Also check out the Least Common Multiple of 99408 and 99417