What is the Greatest Common Factor of 99924 and 99944?

Greatest common factor (GCF) of 99924 and 99944 is 4.

GCF(99924,99944) = 4

We will now calculate the prime factors of 99924 and 99944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99924 and 99944.

How to find the GCF of 99924 and 99944?

We will first find the prime factorization of 99924 and 99944. After we will calculate the factors of 99924 and 99944 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99944

Prime factors of 99944 are 2, 13, 31. Prime factorization of 99944 in exponential form is:

99944 = 2³ × 13¹ × 31²

Step-3: Factors of 99924

List of positive integer factors of 99924 that divides 99924 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

Step-4: Factors of 99944

List of positive integer factors of 99944 that divides 99924 without a remainder.

1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 961, 1612, 1922, 3224, 3844, 7688, 12493, 24986, 49972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99924 and 99944. The biggest common factor number is the GCF number.
So the greatest common factor 99924 and 99944 is 4.

Also check out the Least Common Multiple of 99924 and 99944