What is the Greatest Common Factor of 99900 and 99920?

Greatest common factor (GCF) of 99900 and 99920 is 20.

GCF(99900,99920) = 20

We will now calculate the prime factors of 99900 and 99920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99900 and 99920.

How to find the GCF of 99900 and 99920?

We will first find the prime factorization of 99900 and 99920. After we will calculate the factors of 99900 and 99920 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 99920

Prime factors of 99920 are 2, 5, 1249. Prime factorization of 99920 in exponential form is:

99920 = 2⁴ × 5¹ × 1249¹

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 99920

List of positive integer factors of 99920 that divides 99900 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1249, 2498, 4996, 6245, 9992, 12490, 19984, 24980, 49960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99900 and 99920. The biggest common factor number is the GCF number.
So the greatest common factor 99900 and 99920 is 20.

Also check out the Least Common Multiple of 99900 and 99920