What is the Greatest Common Factor of 99900 and 99914?

Greatest common factor (GCF) of 99900 and 99914 is 2.

GCF(99900,99914) = 2

We will now calculate the prime factors of 99900 and 99914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99900 and 99914.

How to find the GCF of 99900 and 99914?

We will first find the prime factorization of 99900 and 99914. After we will calculate the factors of 99900 and 99914 and find the biggest common factor number .

Step-1: Prime Factorization of 99900

Prime factors of 99900 are 2, 3, 5, 37. Prime factorization of 99900 in exponential form is:

99900 = 2² × 3³ × 5² × 37¹

Step-2: Prime Factorization of 99914

Prime factors of 99914 are 2, 49957. Prime factorization of 99914 in exponential form is:

99914 = 2¹ × 49957¹

Step-3: Factors of 99900

List of positive integer factors of 99900 that divides 99900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 37, 45, 50, 54, 60, 74, 75, 90, 100, 108, 111, 135, 148, 150, 180, 185, 222, 225, 270, 300, 333, 370, 444, 450, 540, 555, 666, 675, 740, 900, 925, 999, 1110, 1332, 1350, 1665, 1850, 1998, 2220, 2700, 2775, 3330, 3700, 3996, 4995, 5550, 6660, 8325, 9990, 11100, 16650, 19980, 24975, 33300, 49950

Step-4: Factors of 99914

List of positive integer factors of 99914 that divides 99900 without a remainder.

1, 2, 49957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99900 and 99914. The biggest common factor number is the GCF number.
So the greatest common factor 99900 and 99914 is 2.

Also check out the Least Common Multiple of 99900 and 99914