What is the Greatest Common Factor of 96705 and 96720?

Greatest common factor (GCF) of 96705 and 96720 is 15.

GCF(96705,96720) = 15

We will now calculate the prime factors of 96705 and 96720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96705 and 96720.

How to find the GCF of 96705 and 96720?

We will first find the prime factorization of 96705 and 96720. After we will calculate the factors of 96705 and 96720 and find the biggest common factor number .

Step-1: Prime Factorization of 96705

Prime factors of 96705 are 3, 5, 7, 307. Prime factorization of 96705 in exponential form is:

96705 = 3² × 5¹ × 7¹ × 307¹

Step-2: Prime Factorization of 96720

Prime factors of 96720 are 2, 3, 5, 13, 31. Prime factorization of 96720 in exponential form is:

96720 = 2⁴ × 3¹ × 5¹ × 13¹ × 31¹

Step-3: Factors of 96705

List of positive integer factors of 96705 that divides 96705 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 307, 315, 921, 1535, 2149, 2763, 4605, 6447, 10745, 13815, 19341, 32235

Step-4: Factors of 96720

List of positive integer factors of 96720 that divides 96705 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 31, 39, 40, 48, 52, 60, 62, 65, 78, 80, 93, 104, 120, 124, 130, 155, 156, 186, 195, 208, 240, 248, 260, 310, 312, 372, 390, 403, 465, 496, 520, 620, 624, 744, 780, 806, 930, 1040, 1209, 1240, 1488, 1560, 1612, 1860, 2015, 2418, 2480, 3120, 3224, 3720, 4030, 4836, 6045, 6448, 7440, 8060, 9672, 12090, 16120, 19344, 24180, 32240, 48360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96705 and 96720. The biggest common factor number is the GCF number.
So the greatest common factor 96705 and 96720 is 15.

Also check out the Least Common Multiple of 96705 and 96720