What is the Greatest Common Factor of 99705 and 99720?

Greatest common factor (GCF) of 99705 and 99720 is 15.

GCF(99705,99720) = 15

We will now calculate the prime factors of 99705 and 99720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99705 and 99720.

How to find the GCF of 99705 and 99720?

We will first find the prime factorization of 99705 and 99720. After we will calculate the factors of 99705 and 99720 and find the biggest common factor number .

Step-1: Prime Factorization of 99705

Prime factors of 99705 are 3, 5, 17, 23. Prime factorization of 99705 in exponential form is:

99705 = 3¹ × 5¹ × 17² × 23¹

Step-2: Prime Factorization of 99720

Prime factors of 99720 are 2, 3, 5, 277. Prime factorization of 99720 in exponential form is:

99720 = 2³ × 3² × 5¹ × 277¹

Step-3: Factors of 99705

List of positive integer factors of 99705 that divides 99705 without a remainder.

1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 289, 345, 391, 867, 1173, 1445, 1955, 4335, 5865, 6647, 19941, 33235

Step-4: Factors of 99720

List of positive integer factors of 99720 that divides 99705 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 277, 360, 554, 831, 1108, 1385, 1662, 2216, 2493, 2770, 3324, 4155, 4986, 5540, 6648, 8310, 9972, 11080, 12465, 16620, 19944, 24930, 33240, 49860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99705 and 99720. The biggest common factor number is the GCF number.
So the greatest common factor 99705 and 99720 is 15.

Also check out the Least Common Multiple of 99705 and 99720