What is the Greatest Common Factor of 99300 and 99309?

Greatest common factor (GCF) of 99300 and 99309 is 3.

GCF(99300,99309) = 3

We will now calculate the prime factors of 99300 and 99309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99300 and 99309.

How to find the GCF of 99300 and 99309?

We will first find the prime factorization of 99300 and 99309. After we will calculate the factors of 99300 and 99309 and find the biggest common factor number .

Step-1: Prime Factorization of 99300

Prime factors of 99300 are 2, 3, 5, 331. Prime factorization of 99300 in exponential form is:

99300 = 2² × 3¹ × 5² × 331¹

Step-2: Prime Factorization of 99309

Prime factors of 99309 are 3, 7, 4729. Prime factorization of 99309 in exponential form is:

99309 = 3¹ × 7¹ × 4729¹

Step-3: Factors of 99300

List of positive integer factors of 99300 that divides 99300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300, 331, 662, 993, 1324, 1655, 1986, 3310, 3972, 4965, 6620, 8275, 9930, 16550, 19860, 24825, 33100, 49650

Step-4: Factors of 99309

List of positive integer factors of 99309 that divides 99300 without a remainder.

1, 3, 7, 21, 4729, 14187, 33103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99300 and 99309. The biggest common factor number is the GCF number.
So the greatest common factor 99300 and 99309 is 3.

Also check out the Least Common Multiple of 99300 and 99309