What is the Greatest Common Factor of 99905 and 99924?

Greatest common factor (GCF) of 99905 and 99924 is 1.

GCF(99905,99924) = 1

We will now calculate the prime factors of 99905 and 99924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99905 and 99924.

How to find the GCF of 99905 and 99924?

We will first find the prime factorization of 99905 and 99924. After we will calculate the factors of 99905 and 99924 and find the biggest common factor number .

Step-1: Prime Factorization of 99905

Prime factors of 99905 are 5, 13, 29, 53. Prime factorization of 99905 in exponential form is:

99905 = 5¹ × 13¹ × 29¹ × 53¹

Step-2: Prime Factorization of 99924

Prime factors of 99924 are 2, 3, 11, 757. Prime factorization of 99924 in exponential form is:

99924 = 2² × 3¹ × 11¹ × 757¹

Step-3: Factors of 99905

List of positive integer factors of 99905 that divides 99905 without a remainder.

1, 5, 13, 29, 53, 65, 145, 265, 377, 689, 1537, 1885, 3445, 7685, 19981

Step-4: Factors of 99924

List of positive integer factors of 99924 that divides 99905 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 757, 1514, 2271, 3028, 4542, 8327, 9084, 16654, 24981, 33308, 49962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99905 and 99924. The biggest common factor number is the GCF number.
So the greatest common factor 99905 and 99924 is 1.

Also check out the Least Common Multiple of 99905 and 99924