What is the Greatest Common Factor of 99724 and 99738?

Greatest common factor (GCF) of 99724 and 99738 is 2.

GCF(99724,99738) = 2

We will now calculate the prime factors of 99724 and 99738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99724 and 99738.

How to find the GCF of 99724 and 99738?

We will first find the prime factorization of 99724 and 99738. After we will calculate the factors of 99724 and 99738 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 99738

Prime factors of 99738 are 2, 3, 1847. Prime factorization of 99738 in exponential form is:

99738 = 2¹ × 3³ × 1847¹

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 99738

List of positive integer factors of 99738 that divides 99724 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1847, 3694, 5541, 11082, 16623, 33246, 49869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99724 and 99738. The biggest common factor number is the GCF number.
So the greatest common factor 99724 and 99738 is 2.

Also check out the Least Common Multiple of 99724 and 99738