What is the Greatest Common Factor of 99404 and 99424?

Greatest common factor (GCF) of 99404 and 99424 is 4.

GCF(99404,99424) = 4

We will now calculate the prime factors of 99404 and 99424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99404 and 99424.

How to find the GCF of 99404 and 99424?

We will first find the prime factorization of 99404 and 99424. After we will calculate the factors of 99404 and 99424 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 99424

Prime factors of 99424 are 2, 13, 239. Prime factorization of 99424 in exponential form is:

99424 = 2⁵ × 13¹ × 239¹

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 99424

List of positive integer factors of 99424 that divides 99404 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 239, 416, 478, 956, 1912, 3107, 3824, 6214, 7648, 12428, 24856, 49712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99404 and 99424. The biggest common factor number is the GCF number.
So the greatest common factor 99404 and 99424 is 4.

Also check out the Least Common Multiple of 99404 and 99424