What is the Greatest Common Factor of 99405 and 99424?

Greatest common factor (GCF) of 99405 and 99424 is 1.

GCF(99405,99424) = 1

We will now calculate the prime factors of 99405 and 99424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99405 and 99424.

How to find the GCF of 99405 and 99424?

We will first find the prime factorization of 99405 and 99424. After we will calculate the factors of 99405 and 99424 and find the biggest common factor number .

Step-1: Prime Factorization of 99405

Prime factors of 99405 are 3, 5, 47. Prime factorization of 99405 in exponential form is:

99405 = 3² × 5¹ × 47²

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 99405

List of positive integer factors of 99405 that divides 99405 without a remainder.

1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115, 2209, 6627, 11045, 19881, 33135

Step-4: Factors of 99424

List of positive integer factors of 99424 that divides 99405 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 99405 and 99424. The biggest common factor number is the GCF number.
So the greatest common factor 99405 and 99424 is 1.

Also check out the Least Common Multiple of 99405 and 99424