What is the Greatest Common Factor of 99404 and 99408?

Greatest common factor (GCF) of 99404 and 99408 is 4.

GCF(99404,99408) = 4

We will now calculate the prime factors of 99404 and 99408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99404 and 99408.

How to find the GCF of 99404 and 99408?

We will first find the prime factorization of 99404 and 99408. After we will calculate the factors of 99404 and 99408 and find the biggest common factor number .

Step-1: Prime Factorization of 99404

Prime factors of 99404 are 2, 24851. Prime factorization of 99404 in exponential form is:

99404 = 2² × 24851¹

Step-2: 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-3: Factors of 99404

List of positive integer factors of 99404 that divides 99404 without a remainder.

1, 2, 4, 24851, 49702

Step-4: Factors of 99408

List of positive integer factors of 99408 that divides 99404 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99404 and 99408. The biggest common factor number is the GCF number.
So the greatest common factor 99404 and 99408 is 4.

Also check out the Least Common Multiple of 99404 and 99408