What is the Greatest Common Factor of 99724 and 99744?

Greatest common factor (GCF) of 99724 and 99744 is 4.

GCF(99724,99744) = 4

We will now calculate the prime factors of 99724 and 99744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99724 and 99744.

How to find the GCF of 99724 and 99744?

We will first find the prime factorization of 99724 and 99744. After we will calculate the factors of 99724 and 99744 and find the biggest common factor number .

Step-1: Prime Factorization of 99724

Prime factors of 99724 are 2, 107, 233. Prime factorization of 99724 in exponential form is:

99724 = 2² × 107¹ × 233¹

Step-2: Prime Factorization of 99744

Prime factors of 99744 are 2, 3, 1039. Prime factorization of 99744 in exponential form is:

99744 = 2⁵ × 3¹ × 1039¹

Step-3: Factors of 99724

List of positive integer factors of 99724 that divides 99724 without a remainder.

1, 2, 4, 107, 214, 233, 428, 466, 932, 24931, 49862

Step-4: Factors of 99744

List of positive integer factors of 99744 that divides 99724 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1039, 2078, 3117, 4156, 6234, 8312, 12468, 16624, 24936, 33248, 49872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99724 and 99744. The biggest common factor number is the GCF number.
So the greatest common factor 99724 and 99744 is 4.

Also check out the Least Common Multiple of 99724 and 99744