What is the Greatest Common Factor of 96720 and 96725?

Greatest common factor (GCF) of 96720 and 96725 is 5.

GCF(96720,96725) = 5

We will now calculate the prime factors of 96720 and 96725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96720 and 96725.

How to find the GCF of 96720 and 96725?

We will first find the prime factorization of 96720 and 96725. After we will calculate the factors of 96720 and 96725 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96725

Prime factors of 96725 are 5, 53, 73. Prime factorization of 96725 in exponential form is:

96725 = 5² × 53¹ × 73¹

Step-3: Factors of 96720

List of positive integer factors of 96720 that divides 96720 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

Step-4: Factors of 96725

List of positive integer factors of 96725 that divides 96720 without a remainder.

1, 5, 25, 53, 73, 265, 365, 1325, 1825, 3869, 19345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96720 and 96725. The biggest common factor number is the GCF number.
So the greatest common factor 96720 and 96725 is 5.

Also check out the Least Common Multiple of 96720 and 96725